-
1
-
-
21644459325
-
Wave collapse in nonlocal nonlinear schrodinger systems
-
Ablowitz, M.J., Bakirtas, I., and Ilan, B. 2005. Wave collapse in nonlocal nonlinear Schrodinger systems. Physica D, 207, 230-253.
-
(2005)
Physica D
, vol.207
, pp. 230-253
-
-
Ablowitz, M.J.1
Bakirtas, I.2
Ilan, B.3
-
2
-
-
0000905369
-
Multiscale pulse dynamics in communication systems with strong dispersion-management
-
Ablowitz, M.J., and Biondini, G. 1998. Multiscale pulse dynamics in communication systems with strong dispersion-management. Opt. Lett., 23, 1668-1670.
-
(1998)
Opt. Lett
, vol.23
, pp. 1668-1670
-
-
Ablowitz, M.J.1
Biondini, G.2
-
3
-
-
0036507555
-
Collision-induced timing shifts in dispersion-managed soliton systems
-
Ablowitz, M.J., Biondini, G., Biswas, A., Docherty, A., Hirooka, T., and Chakravarty, S. 2002a. Collision-induced timing shifts in dispersion-managed soliton systems. Opt. Lett., 27, 318-320.
-
(2002)
Opt. Lett
, vol.27
, pp. 318-320
-
-
Ablowitz, M.J.1
Biondini, G.2
Biswas, A.3
Docherty, A.4
Hirooka, T.5
Chakravarty, S.6
-
4
-
-
0041165385
-
Multi-dimensional pulse propagation in non-resonantx(2) materials
-
Ablowitz, M.J., Biondini, G., and Blair, S. 1997. Multi-dimensional pulse propagation in non-resonantx(2) materials. Phys. Lett. A, 236, 520-524.
-
(1997)
Phys. Lett. A
, vol.236
, pp. 520-524
-
-
Ablowitz, M.J.1
Biondini, G.2
Blair, S.3
-
5
-
-
0035306022
-
Nonlinear schrodinger equations with mean terms in non-resonant multi-dimensional quadratic materials
-
Ablowitz, M.J., Biondini, G., and Blair, S. 2001a. Nonlinear Schrodinger equations with mean terms in non-resonant multi-dimensional quadratic materials. Phys. Rev. E, 63, 605-620.
-
(2001)
Phys. Rev. E
, vol.63
, pp. 605-620
-
-
Ablowitz, M.J.1
Biondini, G.2
Blair, S.3
-
6
-
-
0037498555
-
Four wave mixing in dispersion-managed return-to-zero systems
-
Ablowitz, M.J., Biondini, G., Chakravarty, S., and Horne, R.L. 2003a. Four wave mixing in dispersion-managed return-to-zero systems. J. Opt. Soc. Am. B, 20, 831-845.
-
(2003)
J. Opt. Soc. Am. B
, vol.20
, pp. 831-845
-
-
Ablowitz, M.J.1
Biondini, G.2
Chakravarty, S.3
Horne, R.L.4
-
7
-
-
0030258663
-
Four-wave mixing in wavelength-division-multiplexed soliton systems: Damping and amplification
-
Ablowitz, M.J., Biondini, G., Chakravarty, S., Jenkins, R.B., and Sauer, J.R. 1996. Four-wave mixing in wavelength-division-multiplexed soliton systems: damping and amplification. Opt. Lett., 21, 1646-1648.
-
(1996)
Opt. Lett
, vol.21
, pp. 1646-1648
-
-
Ablowitz, M.J.1
Biondini, G.2
Chakravarty, S.3
Jenkins, R.B.4
Sauer, J.R.5
-
8
-
-
0003220343
-
On the evolution and interaction of dispersion-managed solitons
-
edited by Akira Hasegawa. Kyoto, Japan: Kluwer Academic
-
Ablowitz, M.J., Biondini, G., and Olson, E. 2000b. On the evolution and interaction of dispersion-managed solitons. In: Massive WDM and TDM Soliton Transmission Systems, edited by Akira Hasegawa. Kyoto, Japan: Kluwer Academic, pp. 362-367.
-
(2000)
Massive WDM and TDM Soliton Transmission Systems
, pp. 362-367
-
-
Ablowitz, M.J.1
Biondini, G.2
Olson, E.3
-
10
-
-
0041808958
-
Incomplete collisions in strongly dispersion-managed return-to-zero communication systems
-
Ablowitz, M.J., Docherty, A., and Hirooka, T. 2003b. Incomplete collisions in strongly dispersion-managed return-to-zero communication systems. Opt. Lett., 28, 1191-1193.
-
(2003)
Opt. Lett
, vol.28
, pp. 1191-1193
-
-
Ablowitz, M.J.1
Docherty, A.2
Hirooka, T.3
-
12
-
-
33749004551
-
On a new nonlocal formulation of water waves
-
Ablowitz, M.J., Fokas, A.S., and Musslimani, Z. 2006. On a new nonlocal formulation of water waves. J. Fluid Mech., 562, 313-344.
-
(2006)
J. Fluid Mech
, vol.562
, pp. 313-344
-
-
Ablowitz, M.J.1
Fokas, A.S.2
Musslimani, Z.3
-
13
-
-
0001231291
-
Resonantly coupled nonlinear evolution equations
-
Ablowitz, M.J., and Haberman, R. 1975. Resonantly coupled nonlinear evolution equations. Phys. Rev. Lett., 38, 1185-1188.
-
(1975)
Phys. Rev. Lett
, vol.38
, pp. 1185-1188
-
-
Ablowitz, M.J.1
Haberman, R.2
-
14
-
-
0001008654
-
Modulated periodic waves in deep water
-
Ablowitz, M.J., Hammack, J., Henderson, D., and Schober, C.M. 2000a. Modulated periodic waves in deep water. Phys. Rev. Lett., 84, 887-890.
-
(2000)
Phys. Rev. Lett
, vol.84
, pp. 887-890
-
-
Ablowitz, M.J.1
Hammack, J.2
Henderson, D.3
Schober, C.M.4
-
15
-
-
18244424907
-
Long time dynamics of the modulational instability of deep water waves
-
Ablowitz, M.J., Hammack, J., Henderson, D., and Schober, C.M. 2001. Long time dynamics of the modulational instability of deep water waves. Physica D, 1S2, 416-433.
-
(2001)
Physica D
, vol.1S2
, pp. 416-433
-
-
Ablowitz, M.J.1
Hammack, J.2
Henderson, D.3
Schober, C.M.4
-
16
-
-
70349412016
-
Asymptotic expansions for solitary gravity- capillary waves in two and three dimensions
-
Ablowitz, M.J., and Haut, T.S. 2009a. Asymptotic expansions for solitary gravity- capillary waves in two and three dimensions. Proc. R. Soc. Lond. A, 46S, 2725-2749.
-
(2009)
Proc. R. Soc. Lond. A
, vol.46S
, pp. 2725-2749
-
-
Ablowitz, M.J.1
Haut, T.S.2
-
17
-
-
70350022612
-
Coupled nonlinear schrodinger equations from interfacial fluids with a free surface
-
Ablowitz, M.J., and Haut, T.S. 2009b. Coupled nonlinear Schrodinger equations from interfacial fluids with a free surface. Theor. Math. Phys., 1S9, 689-697.
-
(2009)
Theor. Math. Phys
, vol.1S9
, pp. 689-697
-
-
Ablowitz, M.J.1
Haut, T.S.2
-
18
-
-
78649643872
-
Asymptotic expansions for solitary gravity- capillary waves in two dimensions
-
Ablowitz, M.J., and Haut, T.S. 2010. Asymptotic expansions for solitary gravity- capillary waves in two dimensions. J. Phys. Math Theor., 43, 434005.
-
(2010)
J. Phys. Math Theor
, vol.43
, pp. 434005
-
-
Ablowitz, M.J.1
Haut, T.S.2
-
19
-
-
0000353739
-
Quasi-linear optical pulses in strongly dispersion-managed transmission systems
-
Ablowitz, M.J., Hirooka, T., and Biondini, G. 2001b. Quasi-linear optical pulses in strongly dispersion-managed transmission systems. Opt. Lett., 26, 459-461.
-
(2001)
Opt. Lett
, vol.26
, pp. 459-461
-
-
Ablowitz, M.J.1
Hirooka, T.2
Biondini, G.3
-
20
-
-
0009882911
-
Managing nonlinearity in strongly dispersion- managed optical pulse transmission
-
Ablowitz, M.J., and Hirooka, T. 2002. Managing nonlinearity in strongly dispersion- managed optical pulse transmission. J. Opt. Soc. Am. B, 19, 425-439.
-
(2002)
J. Opt. Soc. Am. B
, vol.19
, pp. 425-439
-
-
Ablowitz, M.J.1
Hirooka, T.2
-
21
-
-
0141564707
-
Higher order asymptotic analysis of dispersion-managed transmission systems: Solitons and their characteristics
-
Ablowitz, M.J., Hirooka, T., and Inoue, T. 2002b. Higher order asymptotic analysis of dispersion-managed transmission systems: solitons and their characteristics. J. Opt. Soc. Am. B, 19, 2876-2885.
-
(2002)
J. Opt. Soc. Am. B
, vol.19
, pp. 2876-2885
-
-
Ablowitz, M.J.1
Hirooka, T.2
Inoue, T.3
-
22
-
-
65449138487
-
Pulse dynamics and solitons in mode-locked lasers
-
Ablowitz, M.J., and Horikis, T.P. 2008. Pulse dynamics and solitons in mode-locked lasers. Phys. Rev. A, lS, 011802.
-
(2008)
Phys. Rev. A
, vol.1S
, pp. 011802
-
-
Ablowitz, M.J.1
Horikis, T.P.2
-
23
-
-
67650904485
-
Solitons and spectral renormalization methods in nonlinear optics
-
Ablowitz, M.J., and Horikis, T.P. 2009a. Solitons and spectral renormalization methods in nonlinear optics. Eur. Phys. J. Special Topics, 1l3, 147-166.
-
(2009)
Eur. Phys. J. Special Topics
, vol.113
, pp. 147-166
-
-
Ablowitz, M.J.1
Horikis, T.P.2
-
24
-
-
67649882759
-
Solitons in normally dispersive mode-locked lasers
-
Ablowitz, M.J., and Horikis, T.P. 2009b. Solitons in normally dispersive mode-locked lasers. Phys. Rev. A, l9, G63845.
-
(2009)
Phys. Rev. A
, vol.19
, pp. G63845
-
-
Ablowitz, M.J.1
Horikis, T.P.2
-
25
-
-
40849116569
-
Solitons in dispersion-managed mode- locked lasers
-
Ablowitz, M.J., Horikis, T.P., and Ilan, B. 2008. Solitons in dispersion-managed mode- locked lasers. Phys. Rev. A, ll, G33814.
-
(2008)
Phys. Rev. A
, vol.11
, pp. G33814
-
-
Ablowitz, M.J.1
Horikis, T.P.2
Ilan, B.3
-
26
-
-
69149107661
-
Soliton strings and interactions in mode-locked lasers
-
Ablowitz, M.J., Horikis, T.P., and Nixon, S.D. 2009c. Soliton strings and interactions in mode-locked lasers. Opt. Comm., 282, 4127-4135.
-
(2009)
Opt. Comm
, vol.282
, pp. 4127-4135
-
-
Ablowitz, M.J.1
Horikis, T.P.2
Nixon, S.D.3
-
27
-
-
65449185396
-
Asymptotic analysis of pulse dynamics in mode-locked lasers
-
Ablowitz, M.J., Horikis, T.P., Nixon, S.D., and Zhu, Y. 2009a. Asymptotic analysis of pulse dynamics in mode-locked lasers. Stud. Appl. Math., 122, 411-425.
-
(2009)
Stud. Appl. Math
, vol.122
, pp. 411-425
-
-
Ablowitz, M.J.1
Horikis, T.P.2
Nixon, S.D.3
Zhu, Y.4
-
28
-
-
3943063622
-
Carrier-envelope phase slip of ultra-short dispersion-managed solitons
-
Ablowitz, M.J., Ilan, B., and Cundiff, S.T. 2004a. Carrier-envelope phase slip of ultra-short dispersion-managed solitons. Opt. Lett., 29, 1818-182G.
-
(2004)
Opt. Lett
, vol.29
, pp. 1818-1825
-
-
Ablowitz, M.J.1
Ilan, B.2
Cundiff, S.T.3
-
29
-
-
4243485401
-
Method for solving sine-gordon equation
-
Ablowitz, M.J., Kaup, D.J., Newell, A.C., and Segur, H. 1973a. Method for solving sine-Gordon equation. Phys. Rev. Lett., 3G, 1262-1264.
-
(1973)
Phys. Rev. Lett
, vol.3G
, pp. 1262-1264
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
30
-
-
14944339642
-
Nonlinear-evolution equations of physical significance
-
Ablowitz, M.J., Kaup, D.J., Newell, A.C., and Segur, H. 1973b. Nonlinear-evolution equations of physical significance. Phys. Rev. Lett., 31, 125-127.
-
(1973)
Phys. Rev. Lett
, vol.31
, pp. 125-127
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
31
-
-
0016369301
-
Inverse scattering transform—fourier analysis for nonlinear problems
-
Ablowitz, M.J., Kaup, D.J., Newell, A.C., and Segur, H. 1974. Inverse scattering transform—Fourier analysis for nonlinear problems. Stud. Appl. Math., S3, 249-315.
-
(1974)
Stud. Appl. Math
, vol.S3
, pp. 249-315
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
32
-
-
36749106916
-
A note on miura’s transformation
-
Ablowitz, M.J., Kruskal, M.D., and Segur, H. 1979. A note on Miura’s transformation. J. Math. Phys., 20, 999-1003.
-
(1979)
J. Math. Phys
, vol.20
, pp. 999-1003
-
-
Ablowitz, M.J.1
Kruskal, M.D.2
Segur, H.3
-
33
-
-
44949289090
-
On the boundary conditions of the davey-stewartson equation
-
Ablowitz, M.J., Manakov, S.V., and Schultz, C.L. 1990. On the boundary conditions of the Davey-Stewartson equation. Phys. Lett. A, 148, 5G-52.
-
(1990)
Phys. Lett. A
, vol.148
, pp. 5G-52G
-
-
Ablowitz, M.J.1
Manakov, S.V.2
Schultz, C.L.3
-
34
-
-
0141509089
-
Discrete spatial solitions in a diffraction- managed nonlinear waveguide array: A unified approach
-
Ablowitz, M.J., and Musslimani, Z. 2003. Discrete spatial solitions in a diffraction- managed nonlinear waveguide array: a unified approach. Physica D, 184, 276-303.
-
(2003)
Physica D
, vol.184
, pp. 276-303
-
-
Ablowitz, M.J.1
Musslimani, Z.2
-
35
-
-
24344438633
-
Spectral renormalization method for computing self-localized solutions to nonlinear systems
-
Ablowitz, M.J., and Musslimani, Z. 2005. Spectral renormalization method for computing self-localized solutions to nonlinear systems. Opt. Lett., 30, 2140-2142.
-
(2005)
Opt. Lett
, vol.30
, pp. 2140-2142
-
-
Ablowitz, M.J.1
Musslimani, Z.2
-
36
-
-
70450204681
-
Conical diffraction in honeycomb lattices
-
Ablowitz, M.J., Nixon, S.D., and Zhu, Y. 2009b. Conical diffraction in honeycomb lattices. Phys. Rev. A, 79, 053830.
-
(2009)
Phys. Rev. A
, vol.79
, pp. 053830
-
-
Ablowitz, M.J.1
Nixon, S.D.2
Zhu, Y.3
-
38
-
-
0018480221
-
On the evolution of packets of water waves
-
Ablowitz, M.J., and Segur, H. 1979. On the evolution of packets of water waves. J. Fluid Mech., 92, 691-715.
-
(1979)
J. Fluid Mech
, vol.92
, pp. 691-715
-
-
Ablowitz, M.J.1
Segur, H.2
-
40
-
-
0000400338
-
On the kadomtsev-petviashili equation and associated constraints
-
Ablowitz, M.J., and Villarroel, J. 1991. On the Kadomtsev-Petviashili equation and associated constraints. Stud. Appl. Math., 85, 195-213.
-
(1991)
Stud. Appl. Math
, vol.85
, pp. 195-213
-
-
Ablowitz, M.J.1
Villarroel, J.2
-
41
-
-
0039165810
-
Initial time layers in kadomtsev-petviashili type equations
-
Ablowitz, M.J., and Wang, X.P. 1997. Initial time layers in Kadomtsev-Petviashili type equations. Stud. Appl. Math., 98, 121-137.
-
(1997)
Stud. Appl. Math
, vol.98
, pp. 121-137
-
-
Ablowitz, M.J.1
Wang, X.P.2
-
46
-
-
0000899089
-
Tides and waves
-
Airy, G.B. 1845. Tides and waves. Encyc. Metrop., 192, 241-396.
-
(1845)
Encyc. Metrop
, vol.192
, pp. 241-396
-
-
Airy, G.B.1
-
48
-
-
0035334501
-
Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex ginzburg-landau equation approach
-
Akhmediev, N.N., Soto-Crespo, J.M., and Town, G. 2001. Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach. Phys. Rev. E, 63, 056602.
-
(2001)
Phys. Rev. E
, vol.63
, pp. 056602
-
-
Akhmediev, N.N.1
Soto-Crespo, J.M.2
Town, G.3
-
49
-
-
41349119783
-
Wannier functions analysis of the nonlinear schrödinger equation with a periodic potential
-
Alfimov, G.L., Kevrekidis, P.G., Konotop, V.V., and Salerno, M. 2002. Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential. Phys. Rev. E, 66, 046608.
-
(2002)
Phys. Rev. E
, vol.66
, pp. 046608
-
-
Alfimov, G.L.1
Kevrekidis, P.G.2
Konotop, V.V.3
Salerno, M.4
-
50
-
-
0041471460
-
Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case
-
Angulo, J., Bona, J.L., Linares, F., and Scialom, F. 2002. Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case. Nonlinearity, 15, 759-786.
-
(2002)
Nonlinearity
, vol.15
, pp. 759-786
-
-
Angulo, J.1
Bona, J.L.2
Linares, F.3
Scialom, F.4
-
52
-
-
84990617857
-
Scattering and inverse scattering for 1st order systems
-
Beals, R., and Coifman, R.R. 1984. Scattering and inverse scattering for 1st order systems. Comm. Pure Appl. Math., 37, 39-90.
-
(1984)
Comm. Pure Appl. Math
, vol.37
, pp. 39-90
-
-
Beals, R.1
Coifman, R.R.2
-
53
-
-
0002754832
-
Inverse scattering and evolution-equations
-
Beals, R., and Coifman, R.R. 1985. Inverse scattering and evolution-equations. Comm. Pure Appl. Math., 38, 29-42.
-
(1985)
Comm. Pure Appl. Math
, vol.38
, pp. 29-42
-
-
Beals, R.1
Coifman, R.R.2
-
54
-
-
0003711280
-
-
Providence, RI: AMS
-
Beals, R., Deift, P., and Tomei, C. 1988. Direct and Inverse Scattering on the Line. Providence, RI: AMS.
-
(1988)
Direct and Inverse Scattering on the Line
-
-
Beals, R.1
Deift, P.2
Tomei, C.3
-
56
-
-
84974336691
-
The disintegration of wave trains on deep water. Part 1. theory
-
Benjamin, T.B., and Feir, J.F. 1967. The disintegration of wave trains on deep water. Part 1. Theory. J. Fluid Mech., 27, 417-430.
-
(1967)
J. Fluid Mech
, vol.27
, pp. 417-430
-
-
Benjamin, T.B.1
Feir, J.F.2
-
57
-
-
0001865962
-
Model equations for long waves in nonlinear dispersive systems
-
Benjamin, T.B., Bona, J.L., and Mahony, J.J. 1972. Model equations for long waves in nonlinear dispersive systems. Phil. Trans. Roy. Soc. A, 227, 47-78.
-
(1972)
Phil. Trans. Roy. Soc. A
, vol.227
, pp. 47-78
-
-
Benjamin, T.B.1
Bona, J.L.2
Mahony, J.J.3
-
58
-
-
85172027991
-
Long non-linear waves in fluid flows
-
Benney, D.J. 1966a. Long non-linear waves in fluid flows. J. Math. and Phys., 45, 52-63.
-
(1966)
J. Math. and Phys
, vol.45
, pp. 52-63
-
-
Benney, D.J.1
-
59
-
-
85171998034
-
Long waves on liquid films
-
Benney, D.J. 1966b. Long waves on liquid films. J. Math. and Phys., 45, 150-155.
-
(1966)
J. Math. and Phys
, vol.45
, pp. 150-155
-
-
Benney, D.J.1
-
60
-
-
85163152910
-
Interactions of permanent waves of finite amplitude
-
Benney, D.J., and Luke, J.C. 1964. Interactions of permanent waves of finite amplitude. J. Math. Phys., 43, 309-313.
-
(1964)
J. Math. Phys
, vol.43
, pp. 309-313
-
-
Benney, D.J.1
Luke, J.C.2
-
61
-
-
85163143647
-
The propagation of nonlinear envelopes
-
Benney, D.J., and Newell, A.C. 1967. The propagation of nonlinear envelopes. J. Math. and Phys., 46, 133-139.
-
(1967)
J. Math. and Phys
, vol.46
, pp. 133-139
-
-
Benney, D.J.1
Newell, A.C.2
-
66
-
-
0001681902
-
Theorie de l’intumescence appelee onde solitaire ou de translation se propageant dans un canal rectangulaire
-
Boussinesq, J.M. 1871. Theorie de l’intumescence appelee onde solitaire ou de translation se propageant dans un canal rectangulaire. Comptes Rendues, Acad. Sci. Paris, 72, 755-759.
-
(1871)
Comptes Rendues, Acad. Sci. Paris
, vol.72
, pp. 755-759
-
-
Boussinesq, J.M.1
-
67
-
-
0001864672
-
Theorie des ondes et des remous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblemant parielles de la surface au fond
-
Boussinesq, J.M. 1872. Theorie des ondes et des remous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblemant parielles de la surface au fond. J. Math. Pures Appl. Ser. (2), 17, 55-108.
-
(1872)
J. Math. Pures Appl. Ser. (2)
, vol.17
, pp. 55-108
-
-
Boussinesq, J.M.1
-
72
-
-
0003152071
-
The burgers equation on the semi-infinite and finite intervals
-
Calogero, F., and De Lillo, S. 1989. The Burgers equation on the semi-infinite and finite intervals. Nonlinearity, 2, 37-43.
-
(1989)
Nonlinearity
, vol.2
, pp. 37-43
-
-
Calogero, F.1
Delillo, S.2
-
73
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa, R., and Holm, D.D. 1993a. An integrable shallow water equation with peaked solitons. Phys. Rev. Lett., 71, 1661-1664.
-
(1993)
Phys. Rev. Lett
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.D.2
-
74
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa, R., and Holm, D.D. 1993b. An integrable shallow water equation with peaked solitons. Phys. Rev. Lett., 11, 1661-1664.
-
(1993)
Phys. Rev. Lett
, vol.11
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.D.2
-
75
-
-
0001811404
-
The inverse problem for a general n x n spectral equation
-
Caudrey, PJ. 1982. The inverse problem for a general N x N spectral equation. Physica D, 6, 51-66.
-
(1982)
Physica D
, vol.6
, pp. 51-66
-
-
Caudrey, P.J.1
-
77
-
-
0000867656
-
Backward volume wave microwave envelope solitons in yttrium iron garnet films
-
Chen, M., Tsankov, M.A., Nash, J.M., and Patton, C.E. 1994. Backward volume wave microwave envelope solitons in yttrium iron garnet films. Phys. Rev. B, 49, 12773-12790.
-
(1994)
Phys. Rev. B
, vol.49
, pp. 12773-12790
-
-
Chen, M.1
Tsankov, M.A.2
Nash, J.M.3
Patton, C.E.4
-
78
-
-
84975960876
-
An extension of the method of steepest descents
-
Chester, C., Friedman, B., and Ursell, F. 1957. An extension of the method of steepest descents. Proc. Camb. Phil. Soc., 53, 599-611.
-
(1957)
Proc. Camb. Phil. Soc
, vol.53
, pp. 599-611
-
-
Chester, C.1
Friedman, B.2
Ursell, F.3
-
79
-
-
49349100830
-
Observation of antisymmetric dispersion-managed solitons in a mode-locked laser
-
Chong, A., Renninger, W.H., and Wise, F.W. 2008a. Observation of antisymmetric dispersion-managed solitons in a mode-locked laser. Opt. Lett., 33, 1717-1719.
-
(2008)
Opt. Lett
, vol.33
, pp. 1717-1719
-
-
Chong, A.1
Renninger, W.H.2
Wise, F.W.3
-
80
-
-
40849096785
-
Properties of normal-dispersion femtosecond fiber lasers
-
Chong, A., Renninger, W.H., and Wise, F.W. 2008b. Properties of normal-dispersion femtosecond fiber lasers. J. Opt. Soc. Am. B, 25, 140-148.
-
(2008)
J. Opt. Soc. Am. B
, vol.25
, pp. 140-148
-
-
Chong, A.1
Renninger, W.H.2
Wise, F.W.3
-
81
-
-
84975553137
-
Discrete self-focusing in nonlinear arrays of coupled waveguides
-
Christodoulides, D.N., and Joseph, R.I. 1998. Discrete self-focusing in nonlinear arrays of coupled waveguides. Opt. Lett., 13(9), 794-796.
-
(1998)
Opt. Lett
, vol.13
, Issue.9
, pp. 794-796
-
-
Christodoulides, D.N.1
Joseph, R.I.2
-
82
-
-
0009920457
-
Hodograph transformations of linearizable partial differential equations
-
Clarkson, P.A., Fokas, A.S., and Ablowitz, M.J. 1989. Hodograph transformations of linearizable partial differential equations. SIAM J. Appl. Math., 49, 1188-1209.
-
(1989)
SIAM J. Appl. Math
, vol.49
, pp. 1188-1209
-
-
Clarkson, P.A.1
Fokas, A.S.2
Ablowitz, M.J.3
-
83
-
-
0000332692
-
On a quasilinear parabolic equation occurring in aerodynamics
-
Cole, J.D. 1951. On a quasilinear parabolic equation occurring in aerodynamics. Quart. Appl. Math., 9, 225-236.
-
(1951)
Quart. Appl. Math
, vol.9
, pp. 225-236
-
-
Cole, J.D.1
-
85
-
-
0003620605
-
-
Cambridge: Cambridge University Press
-
Copson, E.T. 1965. Asymptotic Expansions. Cambridge: Cambridge University Press.
-
(1965)
Asymptotic Expansions
-
-
Copson, E.T.1
-
86
-
-
0003908527
-
On the partial differential equations of mathematical physics
-
English Translation, IBM Journal, 11:215-234, 1967
-
Courant, R., Friedrichs, K., and Lewy, H. 1928. On the partial differential equations of mathematical physics. Math. Ann., 100, 32-74. English Translation, IBM Journal, 11:215-234, 1967.
-
(1928)
Math. Ann
, vol.100
, pp. 32-74
-
-
Courant, R.1
Friedrichs, K.2
Lewy, H.3
-
88
-
-
0028443419
-
Hamiltonian long-wave approximations to the water-wave problem
-
Craig, W., and Groves, M.D. 1994. Hamiltonian long-wave approximations to the water-wave problem. Wave Motion, 19, 367-389.
-
(1994)
Wave Motion
, vol.19
, pp. 367-389
-
-
Craig, W.1
Groves, M.D.2
-
89
-
-
0002686768
-
Numerical simulation of gravity-waves
-
Craig, W., and Sulem, C. 1993. Numerical simulation of gravity-waves. J. Comp. Phys., 108, 73-83.
-
(1993)
J. Comp. Phys
, vol.108
, pp. 73-83
-
-
Craig, W.1
Sulem, C.2
-
90
-
-
0141676162
-
Arresting wave collapse by self-rectification
-
Crasovan, L.C., Torres, J.P., Mihalache, D., and Torner, L. 2003. Arresting wave collapse by self-rectification. Phys. Rev. Lett., 9, 063904.
-
(2003)
Phys. Rev. Lett
, vol.9
, pp. 063904
-
-
Crasovan, L.C.1
Torres, J.P.2
Mihalache, D.3
Torner, L.4
-
91
-
-
85052776541
-
Soliton dynamics in mode-locked lasers
-
Cundiff, S.T. 2005. Soliton dynamics in mode-locked lasers. Lect. Notes Phys., 661, 183-206.
-
(2005)
Lect. Notes Phys
, vol.661
, pp. 183-206
-
-
Cundiff, S.T.1
-
92
-
-
41649084359
-
Rulers of light. Scientific american
-
Cundiff, S.T., Ye, J., and Hall, J. 2008. Rulers of light. Scientific American, April, 74-81.
-
(2008)
April
, pp. 74-81
-
-
Cundiff, S.T.1
Ye, J.2
Hall, J.3
-
93
-
-
0000541374
-
On three dimensional packets of surface waves
-
Davey, A., and Stewartson, K. 1974. On three dimensional packets of surface waves. Proc. Roy. Soc. London A, 338, 101-110.
-
(1974)
Proc. Roy. Soc. London A
, vol.338
, pp. 101-110
-
-
Davey, A.1
Stewartson, K.2
-
95
-
-
84990578228
-
The collisionless shock region for the longtime behavior of solutions of the kdv equation
-
Deift, P., Venakides, S., and Zhou, X. 1994. The collisionless shock region for the longtime behavior of solutions of the KdV equation. Comm. Pure Appl. Math., 47, 199-206.
-
(1994)
Comm. Pure Appl. Math
, vol.47
, pp. 199-206
-
-
Deift, P.1
Venakides, S.2
Zhou, X.3
-
96
-
-
84967758645
-
A steepest descent method for oscillatory riemann- hilbert problems
-
Deift, P., and Zhou, X. 1992. A steepest descent method for oscillatory Riemann- Hilbert problems. Bull. Amer. Math. Soc., 26, 119-123.
-
(1992)
Bull. Amer. Math. Soc
, vol.26
, pp. 119-123
-
-
Deift, P.1
Zhou, X.2
-
98
-
-
0017471194
-
On two-dimensional packets of capillary- gravity waves
-
Djordjevic, V.D., and Redekopp, L.G. 1977. On two-dimensional packets of capillary- gravity waves. J. Fluid Mech., 79, 703-714.
-
(1977)
J. Fluid Mech
, vol.79
, pp. 703-714
-
-
Djordjevic, V.D.1
Redekopp, L.G.2
-
100
-
-
0003421814
-
-
New York: Academic Press
-
Dodd, R.K., Eilbeck, J.C., Gibbon, J.D., and Morris, H.C. 1984. Solitons and Nonlinear Wave Equations. New York: Academic Press.
-
(1984)
Solitons and nonlinear Wave Equations
-
-
Dodd, R.K.1
Eilbeck, J.C.2
Gibbon, J.D.3
Morris, H.C.4
-
101
-
-
39749180587
-
Fermi-pasta-ulam and a mysterious lady
-
Jan. 2008
-
Douxois, T. 2008. Fermi-Pasta-Ulam and a mysterious lady, Physics Today, Jan. 2008, 55-57.
-
(2008)
Physics Today
, pp. 55-57
-
-
Douxois, T.1
-
102
-
-
0000492467
-
Note on a modification to the nonlinear schrödinger equation for application to deep water waves
-
Dysthe, K.B. 1979. Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proc. Roy. Soc. London A, 369, 105-114.
-
(1979)
Proc. Roy. Soc. London A
, vol.369
, pp. 105-114
-
-
Dysthe, K.B.1
-
103
-
-
0001397812
-
Inverse scattering theory with stochastic initial potentials
-
Elgin, J.N. 1985. Inverse scattering theory with stochastic initial potentials. Phys. Lett. A, 110, 441-443.
-
(1985)
Phys. Lett. A
, vol.110
, pp. 441-443
-
-
Elgin, J.N.1
-
105
-
-
33845774185
-
The inverse problem in the quantum theory of scattering
-
Faddeev, L.D. 1963. The inverse problem in the quantum theory of scattering. J. Math. Phys., 4, 72-104.
-
(1963)
J. Math. Phys
, vol.4
, pp. 72-104
-
-
Faddeev, L.D.1
-
107
-
-
7544223827
-
Observation of depression solitary surface waves on a thin fluid layer
-
Falcon, E., Laroche, C., and Fauve, S. 2002. Observation of depression solitary surface waves on a thin fluid layer. Phys. Rev. Lett., 89, 204501.
-
(2002)
Phys. Rev. Lett
, vol.89
, pp. 204-501
-
-
Falcon, E.1
Laroche, C.2
Fauve, S.3
-
108
-
-
0003530086
-
-
Tech. rept. Los Alamos Report LA1940. [Reproduced in” Nonlinear Wave Motion,” proceedings, Potsdam, New York, 1972, A.C. Newell, Lect. Appl. Math., 15, 143-156, M.S., Providence, RI, (1974).]
-
Fermi, E., Pasta, S., and Ulam, S. 1955. Studies of nonlinear problems, I. Tech. rept. Los Alamos Report LA1940. [Reproduced in” Nonlinear Wave Motion,” proceedings, Potsdam, New York, 1972, ed. A.C. Newell, Lect. Appl. Math., 15, 143-156, M.S., Providence, RI, (1974).].
-
(1955)
Studies of Nonlinear Problems, I
-
-
Fermi, E.1
Pasta, S.2
Ulam, S.3
-
109
-
-
0342647291
-
Self-focusing in the perturbed and unperturbed nonlinear schrodinger equation in critical dimension
-
Fibich, G., and Papanicolaou, G. 1999. Self-focusing in the perturbed and unperturbed nonlinear Schrodinger equation in critical dimension. SIAM J. App. Math., 60, 183-240.
-
(1999)
SIAM J. App. Math
, vol.60
, pp. 183-240
-
-
Fibich, G.1
Papanicolaou, G.2
-
111
-
-
36749119991
-
On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for hamiltonian-systems
-
Fokas, A.S., and Anderson, R.L. 1982. On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian-systems. J. Math. Phys., 23, 1066-1073.
-
(1982)
J. Math. Phys
, vol.23
, pp. 1066-1073
-
-
Fokas, A.S.1
Anderson, R.L.2
-
112
-
-
49049150360
-
Symplectic structures, their backlund transformations and hereditary symmetries
-
Fokas, A.S., and Fuchssteiner, B. 1981. Symplectic structures, their Backlund transformations and hereditary symmetries. Physica D, 4, 47-66.
-
(1981)
Physica D
, vol.4
, pp. 47-66
-
-
Fokas, A.S.1
Fuchssteiner, B.2
-
113
-
-
0001394512
-
Coherent structures in multidimensions
-
Fokas, A.S., and Santini, P.M. 1989. Coherent structures in multidimensions. Phys. Rev. Lett., 63, 1329-1333.
-
(1989)
Phys. Rev. Lett
, vol.63
, pp. 1329-1333
-
-
Fokas, A.S.1
Santini, P.M.2
-
114
-
-
4244193388
-
Dromions and a boundary value problem for the davey-stewartson i equation
-
Fokas, A.S., and Santini, P.M. 1990. Dromions and a boundary value problem for the Davey-Stewartson I equation. Physica D, 44, 99-130.
-
(1990)
Physica D
, vol.44
, pp. 99-130
-
-
Fokas, A.S.1
Santini, P.M.2
-
116
-
-
0346802462
-
Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation
-
Gabitov, I.R., and Turitsyn, S.K. 1996. Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation. Opt. Lett., 21, 327-329.
-
(1996)
Opt. Lett
, vol.21
, pp. 327-329
-
-
Gabitov, I.R.1
Turitsyn, S.K.2
-
118
-
-
36049057587
-
Method for solving the korteweg-de vries equation
-
Gardner, C.S., Greene, J., Kruskal, M., and Miura, R.M. 1967. Method for solving the Korteweg-de Vries equation. Phys. Rev. Lett., 19, 1095-1097.
-
(1967)
Phys. Rev. Lett
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Greene, J.2
Kruskal, M.3
Miura, R.M.4
-
119
-
-
36849102307
-
The korteweg-de vries equation and generalizations. Iii
-
Gardner, C.S., and Su, C.S. 1969. The Korteweg-de Vries equation and generalizations. III. J. Math. Phys., 10, 536-539.
-
(1969)
J. Math. Phys
, vol.10
, pp. 536-539
-
-
Gardner, C.S.1
Su, C.S.2
-
120
-
-
84980193643
-
Korteweg-de vries and generalizations. Vi. methods for exact solution
-
Gardner, C.S., Greene, J.M., Kruskal, M.D., and Miura, R.M. 1974. Korteweg-de Vries and generalizations. VI. Methods for exact solution. Commun. Pure Appl. Math., 27, 97-133.
-
(1974)
Commun. Pure Appl. Math
, vol.27
, pp. 97-133
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, R.M.4
-
121
-
-
84924180206
-
Resolvants and hamiltonian systems
-
Gel’fand, I.M., and Dickii, L.A. 1977. Resolvants and Hamiltonian systems. Func. Anal. Appl., 11, 93-104.
-
(1977)
Func. Anal. Appl
, vol.11
, pp. 93-104
-
-
Gel’Fand, I.M.1
Dickii, L.A.2
-
123
-
-
84975595242
-
Random walk of coherently amplified solitons in optical fiber transmission
-
Gordon, J.P., and Haus, H.A. 1986. Random walk of coherently amplified solitons in optical fiber transmission. Opt. Lett., 11, 665-667.
-
(1986)
Opt. Lett
, vol.11
, pp. 665-667
-
-
Gordon, J.P.1
Haus, H.A.2
-
124
-
-
5544301960
-
Guiding-center soliton
-
Hasegawa, A., and Kodama, Y. 1991a. Guiding-center soliton. Phys. Rev. Lett., 66, 161-164.
-
(1991)
Phys. Rev. Lett
, vol.66
, pp. 161-164
-
-
Hasegawa, A.1
Kodama, Y.2
-
125
-
-
84921243919
-
Guiding-center soliton in fibers with periodically varying dispersion
-
Hasegawa, A., and Kodama, Y. 1991b. Guiding-center soliton in fibers with periodically varying dispersion. Opt. Lett., 16, 1385-1387.
-
(1991)
Opt. Lett
, vol.16
, pp. 1385-1387
-
-
Hasegawa, A.1
Kodama, Y.2
-
128
-
-
0343676826
-
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibres. I. anomalous dispersion
-
Hasegawa, A., and Tappert, F. 1973a. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibres. I. Anomalous dispersion. Appl. Phys. Lett., 23, 142-144.
-
(1973)
Appl. Phys. Lett
, vol.23
, pp. 142-144
-
-
Hasegawa, A.1
Tappert, F.2
-
129
-
-
36849110613
-
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibres. Ii. normal dispersion
-
Hasegawa, A., and Tappert, F. 1973b. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibres. II. Normal dispersion. Appl. Phys. Lett., 23, 171-172.
-
(1973)
Appl. Phys. Lett
, vol.23
, pp. 171-172
-
-
Hasegawa, A.1
Tappert, F.2
-
130
-
-
0016534845
-
Theory of mode locking with a fast saturable absorber
-
Haus, H.A. 1975. Theory of mode locking with a fast saturable absorber. J. Appl. Phys., 46, 3049-3058.
-
(1975)
J. Appl. Phys
, vol.46
, pp. 3049-3058
-
-
Haus, H.A.1
-
131
-
-
0034313152
-
Mode-locking of lasers
-
Haus, H.A. 2000. Mode-locking of lasers. IEEEJ. Sel. Topics Q. Elec., 6, 1173-1185.
-
(2000)
IEEEJ. Sel. Topics Q. Elec
, vol.6
, pp. 1173-1185
-
-
Haus, H.A.1
-
132
-
-
0026938659
-
Analytic theory of additive pulse and kerr lens mode locking
-
Haus, H.A., Fujimoto, J.G., and Ippen, E.P. 1992. Analytic theory of additive pulse and Kerr lens mode locking. IEEE J. Quant. Elec., 28, 2086-2096.
-
(1992)
IEEE J. Quant. Elec
, vol.28
, pp. 2086-2096
-
-
Haus, H.A.1
Fujimoto, J.G.2
Ippen, E.P.3
-
133
-
-
69649105938
-
A reformulation and applications of interfacial fluids with a free surface
-
Haut, T.S., and Ablowitz, M.J. 2009. A reformulation and applications of interfacial fluids with a free surface. J. Fluid Mech., 631, 375-396.
-
(2009)
J. Fluid Mech
, vol.631
, pp. 375-396
-
-
Haut, T.S.1
Ablowitz, M.J.2
-
135
-
-
3142518084
-
Self-similar evolution of parabolic pulses in a laser
-
Ilday, F.O., Buckley, J.R., Clark, W.G., and Wise, F.W. 2004b. Self-similar evolution of parabolic pulses in a laser. Phys. Rev. Lett., 92, 213901.
-
(2004)
Phys. Rev. Lett
, vol.92
, pp. 213901
-
-
Ilday, F.O.1
Buckley, J.R.2
Clark, W.G.3
Wise, F.W.4
-
136
-
-
4644286786
-
Possibility of self-similar pulse evolution in a ti: Sapphire laser
-
Ilday, F.O., Wise, F.W., and Kaertner, F.X. 2004a. Possibility of self-similar pulse evolution in a Ti:sapphire laser. Opt. Express, 12, 2731-2738.
-
(2004)
Opt. Express
, vol.12
, pp. 2731-2738
-
-
Ilday, F.O.1
Wise, F.W.2
Kaertner, F.X.3
-
138
-
-
0001323002
-
On the modified korteweg-devries soliton and the loop soliton
-
Ishimori, Y. 1981. On the modified Korteweg-de Vries soliton and the loop soliton. J. Phys. Soc. Jpn., 50, 2471-2472.
-
(1981)
J. Phys. Soc. Jpn
, vol.50
, pp. 2471-2472
-
-
Ishimori, Y.1
-
139
-
-
0001357624
-
A relationship between the ablowitz-kaup-newell-segur and wadati-konno-ichikawa schemes of the inverse scattering method
-
Ishimori, Y. 1982. A relationship between the Ablowitz-Kaup-Newell-Segur and Wadati-Konno-Ichikawa schemes of the inverse scattering method. J. Phys. Soc. Jpn., 51, 3036-3041.
-
(1982)
J. Phys. Soc. Jpn
, vol.51
, pp. 3036-3041
-
-
Ishimori, Y.1
-
142
-
-
0000262859
-
On the stability of solitary waves in weakly dispersive media
-
Kadomtsev, B.B., and Petviashvili, V.I. 1970. On the stability of solitary waves in weakly dispersive media. Sov. Phys. Doklady, 15, 539-541.
-
(1970)
Sov. Phys. Doklady
, vol.15
, pp. 539-541
-
-
Kadomtsev, B.B.1
Petviashvili, V.I.2
-
143
-
-
0000975963
-
Decay free microwave envelope soliton pulse trains in yttrium iron garnet thin films
-
Kalinikos, B.A., Kovshikov, N.G., and Patton, C.E. 1997. Decay free microwave envelope soliton pulse trains in yttrium iron garnet thin films. Phys. Rev. Lett., 78, 2827-2830.
-
(1997)
Phys. Rev. Lett
, vol.78
, pp. 2827-2830
-
-
Kalinikos, B.A.1
Kovshikov, N.G.2
Patton, C.E.3
-
144
-
-
0001591160
-
Self generation of fundamental dark solitons in magnetic films
-
Kalinikos, B.A., Scott, M.M., and Patton, C.E. 2000. Self generation of fundamental dark solitons in magnetic films. Phys. Rev. Lett., 84, 4697-4700.
-
(2000)
Phys. Rev. Lett
, vol.84
, pp. 4697-4700
-
-
Kalinikos, B.A.1
Scott, M.M.2
Patton, C.E.3
-
145
-
-
0042498858
-
Stability of pulses in the master mode- locking equation
-
Kapitula, T., Kutz, J.N., and Sandstede, B. 2002. Stability of pulses in the master mode- locking equation. J. Opt. Soc. Am. B, 19, 740-746.
-
(2002)
J. Opt. Soc. Am. B
, vol.19
, pp. 740-746
-
-
Kapitula, T.1
Kutz, J.N.2
Sandstede, B.3
-
146
-
-
49049150482
-
A perturbation theory for soliton systems
-
Karpman, V.I., and Solov’ev, V.V. 1981. A perturbation theory for soliton systems. Physica D, 3, 142-164.
-
(1981)
Physica D
, vol.3
, pp. 142-164
-
-
Karpman, V.I.1
Solov’Ev, V.V.2
-
147
-
-
0000732670
-
Reflectionless transmission through dielectrics and scattering potentials
-
Kay, I., and Moses, H.E. 1956. Reflectionless transmission through dielectrics and scattering potentials. J. Appl. Phys., 27, 1503-1508.
-
(1956)
J. Appl. Phys
, vol.27
, pp. 1503-1508
-
-
Kay, I.1
Moses, H.E.2
-
149
-
-
0001805265
-
Some remarkable properties of two loop soliton solutions
-
Konno, K., and Jeffrey, A. 1983. Some remarkable properties of two loop soliton solutions. J. Phys. Soc. Jpn., 52, 1-3.
-
(1983)
J. Phys. Soc. Jpn
, vol.52
, pp. 1-3
-
-
Konno, K.1
Jeffrey, A.2
-
151
-
-
0001524186
-
On the change of a form of long waves advancing in a rectangular canal and a new type of long stationary waves. Phil. mag
-
thSeries, 422-443.
-
(1895)
Th Series
, pp. 422-443
-
-
Korteweg, D.1
De Vries, G.2
-
155
-
-
33751397709
-
Mode-locked soliton lasers
-
Kutz, J.N. 2006. Mode-locked soliton lasers. SIAM Rev., 48, 629-678.
-
(2006)
SIAM Rev
, vol.48
, pp. 629-678
-
-
Kutz, J.N.1
-
156
-
-
0007070254
-
Asymptotic solutions of nonlinear second order differential equations with variable coefficients
-
Kuzmak, G.E. 1959. Asymptotic solutions of nonlinear second order differential equations with variable coefficients. PMM, 23(3), 515-526.
-
(1959)
PMM
, vol.23
, Issue.3
, pp. 515-526
-
-
Kuzmak, G.E.1
-
160
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
Lax, P.D. 1968. Integrals of nonlinear equations of evolution and solitary waves. Commun. Pure Appl. Math., 21, 467-490.
-
(1968)
Commun. Pure Appl. Math
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
162
-
-
84990602637
-
The small dispersion limit of the korteweg-de vries equation. Iii
-
Lax, P.D., and Levermore, C.D. 1983a. The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math., 36, 809-829.
-
(1983)
Commun. Pure Appl. Math
, vol.36
, pp. 809-829
-
-
Lax, P.D.1
Levermore, C.D.2
-
163
-
-
84990575581
-
The small dispersion limit of the korteweg-de vries equation. I
-
Lax, P.D., and Levermore, C.D. 1983b. The small dispersion limit of the Korteweg-de Vries equation. I. Commun. Pure Appl. Math., 36, 253-290.
-
(1983)
Commun. Pure Appl. Math
, vol.36
, pp. 253-290
-
-
Lax, P.D.1
Levermore, C.D.2
-
164
-
-
84990602637
-
The small dispersion limit of the korteweg-de vries equation. Ii
-
Lax, P.D., and Levermore, C.D. 1983c. The small dispersion limit of the Korteweg-de Vries equation. II. Commun. Pure Appl. Math., 36, 571-593.
-
(1983)
Commun. Pure Appl. Math
, vol.36
, pp. 571-593
-
-
Lax, P.D.1
Levermore, C.D.2
-
167
-
-
0017889140
-
-
Cambridge: Cambridge University Press
-
Lighthill, M.J. 1978. Waves in Fluids. Cambridge: Cambridge University Press.
-
(1978)
Waves in Fluids
-
-
Lighthill, M.J.1
-
168
-
-
84975624635
-
Optical-pulse equalization of low- dispersion transmission in single-mode fibers in the 1.3-1.7yum spectral region
-
Lin, C., Kogelnik, H., and Cohen, L.G. 1980. Optical-pulse equalization of low- dispersion transmission in single-mode fibers in the 1.3-1.7yum spectral region. Opt. Lett., 5, 476-478.
-
(1980)
Opt. Lett
, vol.5
, pp. 476-478
-
-
Lin, C.1
Kogelnik, H.2
Cohen, L.G.3
-
169
-
-
0000557030
-
A perturbation method for nonlinear dispersive wave problems
-
Luke, J.C. 1966. A perturbation method for nonlinear dispersive wave problems. Proc. R. Soc. Lond. A, 292, 403-412.
-
(1966)
Proc. R. Soc. Lond. A
, vol.292
, pp. 403-412
-
-
Luke, J.C.1
-
170
-
-
0001064058
-
Dispersion-managed solitons in the strong dispersion map limit
-
Lushnikov, P.M. 2001. dispersion-managed solitons in the strong dispersion map limit. Opt. Lett., 26, 1535-1537.
-
(2001)
Opt. Lett
, vol.26
, pp. 1535-1537
-
-
Lushnikov, P.M.1
-
171
-
-
0030104430
-
Pseudo-phase-matched four-wave mixing in soliton wavelength-division multiplexing transmission
-
Mamyshev, P.V., and Mollenauer, L.F. 1996. Pseudo-phase-matched four-wave mixing in soliton wavelength-division multiplexing transmission. Opt. Lett., 21, 396-398.
-
(1996)
Opt. Lett
, vol.21
, pp. 396-398
-
-
Mamyshev, P.V.1
Mollenauer, L.F.2
-
173
-
-
0036578577
-
Bi-solitons propagating in dispersion-managed transmission systems
-
Maruta, A., Inoue, T., Nonaka, Y., and Yoshika, Y. 2002. Bi-solitons propagating in dispersion-managed transmission systems. IEEE J. Sel. Top. Quant. Electron., 8, 640-650.
-
(2002)
IEEE J. Sel. Top. Quant. Electron
, vol.8
, pp. 640-650
-
-
Maruta, A.1
Inoue, T.2
Nonaka, Y.3
Yoshika, Y.4
-
175
-
-
0001608151
-
Operator methods for inverse scattering on the real line
-
Melin, A. 1985. Operator methods for inverse scattering on the real line. Commun. Part. Diff Eqns, 10, 677-766.
-
(1985)
Commun. Part. Diff Eqns
, vol.10
, pp. 677-766
-
-
Melin, A.1
-
176
-
-
0035616659
-
Existence of blow-up solutions in the energy space for the critical generalized kdv equation
-
Merle, F. 2001. Existence of blow-up solutions in the energy space for the critical generalized KdV equation. J. Amer. Math. Soc., 14, 555-578.
-
(2001)
J. Amer. Math. Soc
, vol.14
, pp. 555-578
-
-
Merle, F.1
-
177
-
-
0000691051
-
Integrability of a two-dimensional generalization of the toda chain
-
Mikhailov, A.V. 1979. Integrability of a two-dimensional generalization of the Toda chain. Sov. Phys. JETP Lett., 30, 414-418.
-
(1979)
Sov. Phys. JETP Lett
, vol.30
, pp. 414-418
-
-
Mikhailov, A.V.1
-
178
-
-
36048960407
-
The reduction problem and the inverse scattering method
-
Mikhailov, A.V. 1981. The reduction problem and the inverse scattering method. Physica D, 3, 73-117.
-
(1981)
Physica D
, vol.3
, pp. 73-117
-
-
Mikhailov, A.V.1
-
179
-
-
0019559935
-
The korteweg-de vries equation: An historical essay
-
(focus issue)
-
Miles, J.W. 1981. The Korteweg-de Vries equation: An historical essay. J. Fluid Mech., 106 (focus issue), 131-147.
-
(1981)
J. Fluid Mech
, vol.106
, pp. 131-147
-
-
Miles, J.W.1
-
180
-
-
36849110505
-
Korteweg-de vries equation and generalizations. I. a remarkable explicit nonlinear transformation
-
Miura, R.M. 1968. Korteweg-de Vries equation and generalizations. I. A remarkable explicit nonlinear transformation. J. Math. Phys., 9, 1202-1204.
-
(1968)
J. Math. Phys
, vol.9
, pp. 1202-1204
-
-
Miura, R.M.1
-
181
-
-
33748069497
-
Korteweg-de vries equations and generalizations. Ii. existence of conservation laws and constants of motion
-
Miura, R.M., Gardner, C.S., and Kruskal, M.D. 1968. Korteweg-de Vries equations and generalizations. II. Existence of conservation laws and constants of motion. J. Math. Phys., 9, 1204-1209.
-
(1968)
J. Math. Phys
, vol.9
, pp. 1204-1209
-
-
Miura, R.M.1
Gardner, C.S.2
Kruskal, M.D.3
-
182
-
-
0026124309
-
Wavelength division multiplexing with solitons in ultra-long distance transmission using lumped amplifiers
-
Mollenauer, L.F., Evangelides, S.G., and Gordon, J.P. 1991. Wavelength division multiplexing with solitons in ultra-long distance transmission using lumped amplifiers. J. Lightwave Technol., 9, 362-367.
-
(1991)
J. Lightwave Technol
, vol.9
, pp. 362-367
-
-
Mollenauer, L.F.1
Evangelides, S.G.2
Gordon, J.P.3
-
184
-
-
35949019688
-
Experimental observation of picosecond pulse narrowing and solitons in optical fibers
-
Mollenauer, L.F., Stolen, R.H., and Gordon, J.P. 1980. Experimental observation of picosecond pulse narrowing and solitons in optical fibers. Phys. Rev. Lett., 45, 1095-1098.
-
(1980)
Phys. Rev. Lett
, vol.45
, pp. 1095-1098
-
-
Mollenauer, L.F.1
Stolen, R.H.2
Gordon, J.P.3
-
185
-
-
0018443317
-
The general structure of integrable evolution equations
-
Newell, A.C. 1978. The general structure of integrable evolution equations. Proc. Roy. Soc. Lond. A., 365, 283-311.
-
(1978)
Proc. Roy. Soc. Lond. A
, vol.365
, pp. 283-311
-
-
Newell, A.C.1
-
187
-
-
0031221176
-
Stable soliton-like propagation in dispersion-managed systems with net anomalous, zero and normal dispersion
-
Nijhof, J.H.B., Doran, N.J., Forysiak, W., and Knox, F.M. 1997. Stable soliton-like propagation in dispersion-managed systems with net anomalous, zero and normal dispersion. Electron. Lett., 33, 1726-1727.
-
(1997)
Electron. Lett
, vol.33
, pp. 1726-1727
-
-
Nijhof, J.H.B.1
Doran, N.J.2
Forysiak, W.3
Knox, F.M.4
-
188
-
-
0034155494
-
The averaging method for finding exactly periodic dispersion-managed solitons
-
Nijhof, J.H.B., Forysiak, W., and Doran, N.J. 2002. The averaging method for finding exactly periodic dispersion-managed solitons. IEEE J. Sel. Topics Q. Elec., 6, 330-336.
-
(2002)
IEEE J. Sel. Topics Q. Elec
, vol.6
, pp. 330-336
-
-
Nijhof, J.H.B.1
Forysiak, W.2
Doran, N.J.3
-
189
-
-
0004075836
-
-
New York: Plenum
-
Novikov, S.P., Manakov, S.V., Pitaevskii, L.P., and Zakharov, V.E. 1984. Theory of Solitons: The Inverse Scattering Method. New York: Plenum.
-
(1984)
Theory of Solitons: The Inverse Scattering Method
-
-
Novikov, S.P.1
Manakov, S.V.2
Pitaevskii, L.P.3
Zakharov, V.E.4
-
191
-
-
0000002410
-
The focusing singularity of the davey-stewartson equations for gravity-capillary surface waves
-
Papanicolaou, G., Sulem, C., Sulem, P.L., and Wang, X.-P. 1994. The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves. Physica D, 72, 61-86.
-
(1994)
Physica D
, vol.72
, pp. 61-86
-
-
Papanicolaou, G.1
Sulem, C.2
Sulem, P.L.3
Wang, X.-P.4
-
192
-
-
0004227026
-
Microwave magnetic envelope solitons in thin ferrite films
-
Patton, C.E., Kabos, P., Xia, H., Kolodin, P.A., Zhang, H.Y., Staudinger, R., Kalinikos, A., and Kovshikov, N.G. 1999. Microwave magnetic envelope solitons in thin ferrite films. J. Mag. Soc. Japan, 23, 605-610.
-
(1999)
J. Mag. Soc. Japan
, vol.23
, pp. 605-610
-
-
Patton, C.E.1
Kabos, P.2
Xia, H.3
Kolodin, P.A.4
Zhang, H.Y.5
Staudinger, R.6
Kalinikos, A.7
Kovshikov, N.G.8
-
193
-
-
21244436462
-
Convergence of petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations
-
Pelinovsky, D.E., and Stepanyants, Y.A. 2004. Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations. SIAM J. Numer Anal., 42, 1110-1127.
-
(2004)
SIAM J. Numer Anal
, vol.42
, pp. 1110-1127
-
-
Pelinovsky, D.E.1
Stepanyants, Y.A.2
-
194
-
-
0009399073
-
Spectral decomposition for the dirac system associated to the dsii equation
-
Pelinovsky, D.E., and Sulem, C. 2000. Spectral decomposition for the Dirac system associated to the DSII equation. Inverse Problems, 16, 59-74.
-
(2000)
Inverse Problems
, vol.16
, pp. 59-74
-
-
Pelinovsky, D.E.1
Sulem, C.2
-
195
-
-
0038402861
-
Equation of an extraordinary soliton
-
Petviashvili, V.I. 1976. Equation of an extraordinary soliton. Sov J. Plasma Phys., 2, 257-258.
-
(1976)
Sov J. Plasma Phys
, vol.2
, pp. 257-258
-
-
Petviashvili, V.I.1
-
197
-
-
33745711467
-
Inverse scattering for the vector nonlinear schrodinger equation with non-vanishing boundary conditions
-
Prinari, B., Ablowitz, M.J., and Biondini, G. 2006. Inverse scattering for the vector nonlinear Schrodinger equation with non-vanishing boundary conditions. J. Math. Phys., 47, 1-33.
-
(2006)
J. Math. Phys
, vol.47
, pp. 1-33
-
-
Prinari, B.1
Ablowitz, M.J.2
Biondini, G.3
-
198
-
-
27744602443
-
Dynamics of nonlinear and dispersion-managed solitons
-
Quraishi, Q., Cundiff, S.T., Ilan, B., and Ablowitz, M.J. 2005. Dynamics of nonlinear and dispersion-managed solitons. Phys. Rev. Lett., 94, 243904.
-
(2005)
Phys. Rev. Lett
, vol.94
, pp. 243904
-
-
Quraishi, Q.1
Cundiff, S.T.2
Ilan, B.3
Ablowitz, M.J.4
-
200
-
-
0001400224
-
On waves
-
Rayleigh, Lord. 1876. On waves. Phil. Mag., 1, 257-279.
-
(1876)
Phil. Mag
, vol.1
, pp. 257-279
-
-
Rayleigh, L.1
-
205
-
-
65249144563
-
Dynamics of dispersion-managed octave-spanning titanium: Sapphire lasers
-
Sanders, M.Y., Birge, J., Benedick, A., Crespo, H.M., and Kartner, F.X. 2009b. Dynamics of dispersion-managed octave-spanning titanium: sapphire lasers. J. Opt. Soc. Am. B, 26, 743-749.
-
(2009)
J. Opt. Soc. Am. B
, vol.26
, pp. 743-749
-
-
Sanders, M.Y.1
Birge, J.2
Benedick, A.3
Crespo, H.M.4
Kartner, F.X.5
-
206
-
-
36749111593
-
Two-dimensional lumps in nonlinear dispersive systems
-
Satsuma, J., and Ablowitz, M.J. 1979. Two-dimensional lumps in nonlinear dispersive systems. J. Math. Phys., 20, 1496-1503.
-
(1979)
J. Math. Phys
, vol.20
, pp. 1496-1503
-
-
Satsuma, J.1
Ablowitz, M.J.2
-
207
-
-
0001197049
-
A new integrable nonlinear evolution equation
-
Shimizu, T., and Wadati, M. 1980. A new integrable nonlinear evolution equation. Prog. Theor. Phys., 63, 808-820.
-
(1980)
Prog. Theor. Phys
, vol.63
, pp. 808-820
-
-
Shimizu, T.1
Wadati, M.2
-
208
-
-
0000025473
-
On the theory of oscillatory waves
-
Stokes, G.G. 1847. On the theory of oscillatory waves. Camb. Trans., 8, 441-473.
-
(1847)
Camb. Trans
, vol.8
, pp. 441-473
-
-
Stokes, G.G.1
-
210
-
-
45849155233
-
Observation of bound states of solitons in a passively mode-locked fiber laser
-
Tang, D.Y., Man, W.S., Tam, H.Y., and Drummond, P.D. 2001. Observation of bound states of solitons in a passively mode-locked fiber laser. Phys. Rev. A, 64, 033814.
-
(2001)
Phys. Rev. A
, vol.64
, pp. 033814
-
-
Tang, D.Y.1
Man, W.S.2
Tam, H.Y.3
Drummond, P.D.4
-
211
-
-
77952528320
-
Reductive perturbation method in nonlinear wave propagation i
-
Taniuti, T., and Wei, C.C. 1968. Reductive perturbation method in nonlinear wave propagation I. J. Phys. Soc. Japan, 24, 941-946.
-
(1968)
J. Phys. Soc. Japan
, vol.24
, pp. 941-946
-
-
Taniuti, T.1
Wei, C.C.2
-
212
-
-
0001467403
-
The formation of a blast wave by a very intense explosion. I. theoretical discussion
-
Taylor, G.I. 1950. The formation of a blast wave by a very intense explosion. I. Theoretical Discussion. Proc. Roy. Soc. A, 201, 159-174.
-
(1950)
Proc. Roy. Soc. A
, vol.201
, pp. 159-174
-
-
Taylor, G.I.1
-
213
-
-
36449009691
-
Forward volume wave microwave envelope solitons in yttrium iron garnet films-propagation, decay, and collision
-
Tsankov, M.A., Chen, M., and Patton, C.E. 1994. Forward volume wave microwave envelope solitons in yttrium iron garnet films-propagation, decay, and collision. J. Appl. Phys., 76, 4274-4289.
-
(1994)
J. Appl. Phys
, vol.76
, pp. 4274-4289
-
-
Tsankov, M.A.1
Chen, M.2
Patton, C.E.3
-
214
-
-
84990574748
-
The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient
-
Venakides, S. 1985. The zero dispersion limit of the Korteweg-de Vries equation for initial potentials with non-trivial reflection coefficient. Commun. Pure Appl. Math., 38, 125-155.
-
(1985)
Commun. Pure Appl. Math
, vol.38
, pp. 125-155
-
-
Venakides, S.1
-
215
-
-
0036809424
-
The cauchy problem for the kadomtsev- petviashili ii equation with nondecaying data along a line
-
Villarroel, J., and Ablowitz, M.J. 2002. The Cauchy problem for the Kadomtsev- Petviashili II equation with nondecaying data along a line. Stud. Appl. Math, 109, 151-162.
-
(2002)
Stud. Appl. Math
, vol.109
, pp. 151-162
-
-
Villarroel, J.1
Ablowitz, M.J.2
-
216
-
-
0242511217
-
On the discrete spectrum of systems in the plane and the davey-stewartson ii equation
-
Villarroel, J., and Ablowitz, M.J. 2003. On the discrete spectrum of systems in the plane and the Davey-Stewartson II equation. SIAM J. Math. Anal., 34, 1253-1278.
-
(2003)
SIAM J. Math. Anal
, vol.34
, pp. 1253-1278
-
-
Villarroel, J.1
Ablowitz, M.J.2
-
217
-
-
18644384025
-
Averaged description of wave beams in linear and nonlinear media
-
Vlasov, S., Petrishchev, V., and Talanov, V. 1970. Averaged description of wave beams in linear and nonlinear media. Radiophys. Quantum Electronics, 14, 1062.
-
(1970)
Radiophys. Quantum Electronics
, vol.14
, pp. 1062
-
-
Vlasov, S.1
Petrishchev, V.2
Talanov, V.3
-
218
-
-
0007690397
-
The modified korteweg-de vries equation
-
Wadati, M. 1974. The modified Korteweg-de Vries equation. J. Phys. Soc. Jpn., 34, 1289-1296.
-
(1974)
J. Phys. Soc. Jpn
, vol.34
, pp. 1289-1296
-
-
Wadati, M.1
-
219
-
-
77952754614
-
A generalization of inverse scattering method
-
Wadati, M., Konno, K., and Ichikawa, Y.-H. 1979a. A generalization of inverse scattering method. J. Phys. Soc. Jpn., 46, 1965-1966.
-
(1979)
J. Phys. Soc. Jpn
, vol.46
, pp. 1965-1966
-
-
Wadati, M.1
Konno, K.2
Ichikawa, Y.-H.3
-
220
-
-
77950251516
-
New integrable nonlinear evolution equations
-
Wadati, M., Konno, K., and Ichikawa, Y.H. 1979b. New integrable nonlinear evolution equations. J. Phys. Soc. Jpn., 47, 1698-1700.
-
(1979)
J. Phys. Soc. Jpn
, vol.47
, pp. 1698-1700
-
-
Wadati, M.1
Konno, K.2
Ichikawa, Y.H.3
-
221
-
-
0000775451
-
Gauge transformations in soliton theory
-
Wadati, M., and Sogo, K. 1983. Gauge transformations in soliton theory. J. Phys. Soc. Jpn., 52, 394-398.
-
(1983)
J. Phys. Soc. Jpn
, vol.52
, pp. 394-398
-
-
Wadati, M.1
Sogo, K.2
-
222
-
-
0041473959
-
Nonlinear schrodinger equations and sharp interpolation estimates
-
Weinstein, M. 1983. Nonlinear Schrodinger equations and sharp interpolation estimates. Comm. Math. Phys., 87, 567-576.
-
(1983)
Comm. Math. Phys
, vol.87
, pp. 567-576
-
-
Weinstein, M.1
-
223
-
-
0001273346
-
Non-linear dispersive waves
-
Whitham, G.B. 1965. Non-linear dispersive waves. Proc. R. Soc. Lond. A, 6, 238-261.
-
(1965)
Proc. R. Soc. Lond. A
, vol.6
, pp. 238-261
-
-
Whitham, G.B.1
-
225
-
-
19644401276
-
Generation of dark and bright spin wave envelope soliton trains through self-modulational instability in magnetic films
-
Wu, M., Kalinikos, B.A., and Patton, C.E. 2004. Generation of dark and bright spin wave envelope soliton trains through self-modulational instability in magnetic films. Phys. Rev. Lett., 93, 157207.
-
(2004)
Phys. Rev. Lett
, vol.93
, pp. 157207
-
-
Wu, M.1
Kalinikos, B.A.2
Patton, C.E.3
-
226
-
-
0001046918
-
Analysis of enhanced-power solitons in dispersion- managed optical fibers
-
Yang, T., and Kath, W.L. 1997. Analysis of enhanced-power solitons in dispersion- managed optical fibers. Opt. Lett., 22, 985-987.
-
(1997)
Opt. Lett
, vol.22
, pp. 985-987
-
-
Yang, T.1
Kath, W.L.2
-
227
-
-
33846361348
-
Interactions of “solitons” in a collisionless plasma and the recurrence of initial states
-
Zabusky, N.J., and Kruskal, M.D. 1965. Interactions of “solitons” in a collisionless plasma and the recurrence of initial states. Phys. Rev. Lett., 15, 240-243.
-
(1965)
Phys. Rev. Lett
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
-
228
-
-
34250447917
-
Stability of periodic waves of finite amplitude on the surface of a deep fluid
-
Zakharov, V.E. 1968. Stability of periodic waves of finite amplitude on the surface of a deep fluid. Sov. Phys. J. Appl. Mech. Tech. Phys., 4, 190-194.
-
(1968)
Sov. Phys. J. Appl. Mech. Tech. Phys
, vol.4
, pp. 190-194
-
-
Zakharov, V.E.1
-
229
-
-
0001651076
-
Instability of waveguides and solitons in nonlinear media
-
Zakharov, V.E., and Rubenchik, A.M. 1974. Instability of waveguides and solitons in nonlinear media. Sov. Phys. JETP, 38, 494-500.
-
(1974)
Sov. Phys. JETP
, vol.38
, pp. 494-500
-
-
Zakharov, V.E.1
Rubenchik, A.M.2
-
230
-
-
0002557939
-
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in a non-linear media
-
Zakharov, V.E., and Shabat, A. 1972. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in a non-linear media. Sov. Phys. JETP, 34, 62-69.
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
Zakharov, V.E.1
Shabat, A.2
-
231
-
-
0000169358
-
Interaction between solitons in a stable medium
-
Zakharov, V.E., and Shabat, A.B. 1973. Interaction between solitons in a stable medium. Sov. Phys. JETP, 37, 823-828.
-
(1973)
Sov. Phys. JETP
, vol.37
, pp. 823-828
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
232
-
-
0034315390
-
Ground states of dispersion-managed nonlinear schrodinger equation
-
Zharnitsky, V., Grenier, E., Turitsyn, S.K., Jones, C., and Hesthaven, J.S. 2000. Ground states of dispersion-managed nonlinear Schrodinger equation. Phys. Rev. E, 62, 7358-7364.
-
(2000)
Phys. Rev. E
, vol.62
, pp. 7358-7364
-
-
Zharnitsky, V.1
Grenier, E.2
Turitsyn, S.K.3
Jones, C.4
Hesthaven, J.S.5
-
233
-
-
84990553600
-
Direct and inverse scattering transforms with arbitrary spectral singularities
-
Zhou, X. 1989. Direct and inverse scattering transforms with arbitrary spectral singularities. Commun. Pure Appl. Math., 42, 95-938.
-
(1989)
Commun. Pure Appl. Math
, vol.42
, pp. 95-938
-
-
Zhou, X.1
-
234
-
-
0001453119
-
Contribution to the nonlinear theory of magnetostatic spin waves
-
Zvezdin, A.K., and Popkov, A.F. 1983. Contribution to the nonlinear theory of magnetostatic spin waves. Sov. Phys. JETP., 51, 350-354.
-
(1983)
Sov. Phys. JETP
, vol.51
, pp. 350-354
-
-
Zvezdin, A.K.1
Popkov, A.F.2
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