-
1
-
-
29144476463
-
Bose-Einstein condensates with inhomogeneous scattering in one and two dimensions
-
Abdullaev F.Kh., Filho V.S., Gammal A., and Tomio L. Bose-Einstein condensates with inhomogeneous scattering in one and two dimensions. Phys. Part. Nuclei. 36 (2005) S213-S216
-
(2005)
Phys. Part. Nuclei.
, vol.36
-
-
Abdullaev, F.Kh.1
Filho, V.S.2
Gammal, A.3
Tomio, L.4
-
3
-
-
33244460048
-
Propagation of matter-wave solitons in periodic and random nonlinear potentials
-
Abdullaev F.Kh., and Garnier J. Propagation of matter-wave solitons in periodic and random nonlinear potentials. Phys. Rev. A 72 (2005) 061605R
-
(2005)
Phys. Rev. A
, vol.72
-
-
Abdullaev, F.Kh.1
Garnier, J.2
-
4
-
-
0041311200
-
Adiabatic compression of soliton matter waves
-
Abdullaev F.Kh., and Salerno M. Adiabatic compression of soliton matter waves. J. Phys. B 36 (2003) 2851-2859
-
(2003)
J. Phys. B
, vol.36
, pp. 2851-2859
-
-
Abdullaev, F.Kh.1
Salerno, M.2
-
5
-
-
0000905369
-
Multiscale pulse dynamics in communication systems with strong dispersion management
-
Ablowitz M.J., and Biondini G. Multiscale pulse dynamics in communication systems with strong dispersion management. Opt. Lett. 23 (1998) 1668-1670
-
(1998)
Opt. Lett.
, vol.23
, pp. 1668-1670
-
-
Ablowitz, M.J.1
Biondini, G.2
-
7
-
-
0141509089
-
Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: a unified approach
-
Ablowitz M.J., and Musslimani Z.H. Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: a unified approach. Physica D 184 (2003) 276-303
-
(2003)
Physica D
, vol.184
, pp. 276-303
-
-
Ablowitz, M.J.1
Musslimani, Z.H.2
-
8
-
-
24344438633
-
Spectral renormalization method for computing self-localized solutions to nonlinear systems
-
Ablowitz M.J., and Musslimani Z.H. Spectral renormalization method for computing self-localized solutions to nonlinear systems. Opt. Lett. 30 (2005) 1-3
-
(2005)
Opt. Lett.
, vol.30
, pp. 1-3
-
-
Ablowitz, M.J.1
Musslimani, Z.H.2
-
10
-
-
0001640222
-
Optical gap solitons: past, present and future; theory and experiments
-
Aceves A.B. Optical gap solitons: past, present and future; theory and experiments. Chaos 10 (2000) 584-589
-
(2000)
Chaos
, vol.10
, pp. 584-589
-
-
Aceves, A.B.1
-
11
-
-
11944275339
-
Energy localization in nonlinear fiber arrays: collapse-effect compressor
-
Aceves A.B., Luther G.G., De Angelis C., Rubenchik A.M., and Turitsyn S.K. Energy localization in nonlinear fiber arrays: collapse-effect compressor. Phys. Rev. Lett. 75 (1995) 73-76
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 73-76
-
-
Aceves, A.B.1
Luther, G.G.2
De Angelis, C.3
Rubenchik, A.M.4
Turitsyn, S.K.5
-
12
-
-
17444400499
-
Spatial photonics in nonlinear waveguide arrays
-
Bartal G., Cohen O., Schwartz T., Manela O., Freedman B., Segev M., Buljan H., and Efremidis N.K. Spatial photonics in nonlinear waveguide arrays. Opt. Express 13 (2005) 1780-1796
-
(2005)
Opt. Express
, vol.13
, pp. 1780-1796
-
-
Bartal, G.1
Cohen, O.2
Schwartz, T.3
Manela, O.4
Freedman, B.5
Segev, M.6
Buljan, H.7
Efremidis, N.K.8
-
13
-
-
0000363750
-
The stability of solitary waves
-
Benjamin T.B. The stability of solitary waves. Proc. Roy. Soc. Lond. A 328 (1972) 153-183
-
(1972)
Proc. Roy. Soc. Lond. A
, vol.328
, pp. 153-183
-
-
Benjamin, T.B.1
-
15
-
-
0000312138
-
Self-guiding light in layered nonlinear media
-
Berge L., Mezentsev V.K., Rasmussen J.J., Christiansen P.L., and Gaididei Y.B. Self-guiding light in layered nonlinear media. Opt. Lett. 25 (2000) 1037-1039
-
(2000)
Opt. Lett.
, vol.25
, pp. 1037-1039
-
-
Berge, L.1
Mezentsev, V.K.2
Rasmussen, J.J.3
Christiansen, P.L.4
Gaididei, Y.B.5
-
16
-
-
29144530122
-
Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
-
De Bouard A., and Fukuizumi R. Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Ann. Inst. H. Poincaré 6 (2005) 1157-1177
-
(2005)
Ann. Inst. H. Poincaré
, vol.6
, pp. 1157-1177
-
-
De Bouard, A.1
Fukuizumi, R.2
-
17
-
-
0035800480
-
Josephson junction arrays with Bose-Einstein condensates
-
Cataliotti F.S., Burger S., Fort C., Maddaloni P., Minardi F., Trombettoni A., Smerzi A., and Inguscio M. Josephson junction arrays with Bose-Einstein condensates. Science 293 (2001) 843-846
-
(2001)
Science
, vol.293
, pp. 843-846
-
-
Cataliotti, F.S.1
Burger, S.2
Fort, C.3
Maddaloni, P.4
Minardi, F.5
Trombettoni, A.6
Smerzi, A.7
Inguscio, M.8
-
18
-
-
84975553137
-
Discrete self-focusing in nonlinear arrays of coupled waveguides
-
Christodoulides D.N., and Joseph R.I. Discrete self-focusing in nonlinear arrays of coupled waveguides. Opt. Lett. 13 (1988) 794-796
-
(1988)
Opt. Lett.
, vol.13
, pp. 794-796
-
-
Christodoulides, D.N.1
Joseph, R.I.2
-
19
-
-
10344226875
-
Slow light solitons in nonlinear periodic structures
-
Christodoulides D.N., and Joseph R.I. Slow light solitons in nonlinear periodic structures. Opt. Lett. 62 (1989) 1746-1749
-
(1989)
Opt. Lett.
, vol.62
, pp. 1746-1749
-
-
Christodoulides, D.N.1
Joseph, R.I.2
-
20
-
-
0003536628
-
-
McGraw-Hill, New York, Toronto, London
-
Coddington E.A., and Levinson N. Theory of Ordinary Differential Equations (1955), McGraw-Hill, New York, Toronto, London
-
(1955)
Theory of Ordinary Differential Equations
-
-
Coddington, E.A.1
Levinson, N.2
-
21
-
-
0001535463
-
Stability of strongly localized excitations in discrete media with cubic nonlinearity
-
Darmanyan S., Kobyakov A., and Lederer F. Stability of strongly localized excitations in discrete media with cubic nonlinearity. J. Exp. Theor. Phys. 86 (1998) 682-686
-
(1998)
J. Exp. Theor. Phys.
, vol.86
, pp. 682-686
-
-
Darmanyan, S.1
Kobyakov, A.2
Lederer, F.3
-
22
-
-
4243063687
-
Envelope-function approach for the electrodynamics of nonlinear periodic structures
-
de Sterke C.M., and Sipe J.E. Envelope-function approach for the electrodynamics of nonlinear periodic structures. Phys. Rev. A 38 (1988) 5149-5165
-
(1988)
Phys. Rev. A
, vol.38
, pp. 5149-5165
-
-
de Sterke, C.M.1
Sipe, J.E.2
-
23
-
-
4243739185
-
Lattice solitons in Bose-Einstein condensates
-
Efremidis N.K., and Christodoulides D.N. Lattice solitons in Bose-Einstein condensates. Phys. Rev. A 67 (2003) 063608
-
(2003)
Phys. Rev. A
, vol.67
, pp. 063608
-
-
Efremidis, N.K.1
Christodoulides, D.N.2
-
24
-
-
11544338514
-
Discrete spatial optical solitons in waveguide arrays
-
Eisenberg H.B., Silberberg Y., Morandotti R., Boyd A.R., and Aitchison J.S. Discrete spatial optical solitons in waveguide arrays. Phys. Rev. Lett. 81 (1998) 3383-3386
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3383-3386
-
-
Eisenberg, H.B.1
Silberberg, Y.2
Morandotti, R.3
Boyd, A.R.4
Aitchison, J.S.5
-
25
-
-
0001636712
-
Influence of nearly resonant light on the scattering length in low-temperature atomic gases
-
Fedichev P.O., Kagan Yu., Shlyapnikov G.V., and Walraven J.T.M. Influence of nearly resonant light on the scattering length in low-temperature atomic gases. Phys. Rev. Lett. 77 (1996) 2913-2916
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 2913-2916
-
-
Fedichev, P.O.1
Kagan, Yu.2
Shlyapnikov, G.V.3
Walraven, J.T.M.4
-
26
-
-
0037437726
-
Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
-
Fibich G., and Wang X.P. Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities. Physica D 175 (2003) 96-108
-
(2003)
Physica D
, vol.175
, pp. 96-108
-
-
Fibich, G.1
Wang, X.P.2
-
27
-
-
0037434990
-
Observation of two-dimensional discrete solitons in optically-induced nonlinear photonic lattices
-
Fleischer J.W., Segev M., Efremidis N.K., and Christodoulides D.N. Observation of two-dimensional discrete solitons in optically-induced nonlinear photonic lattices. Nature (2003) 147
-
(2003)
Nature
, pp. 147
-
-
Fleischer, J.W.1
Segev, M.2
Efremidis, N.K.3
Christodoulides, D.N.4
-
28
-
-
4043052561
-
Discrete quantum breathers: What do we know about them?
-
Fleurov V. Discrete quantum breathers: What do we know about them?. Chaos 13 (2003) 676-682
-
(2003)
Chaos
, vol.13
, pp. 676-682
-
-
Fleurov, V.1
-
29
-
-
0001613187
-
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
-
Floer A., and Weinstein A. Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. J. Funct. Anal. 69 (1986) 397-408
-
(1986)
J. Funct. Anal.
, vol.69
, pp. 397-408
-
-
Floer, A.1
Weinstein, A.2
-
30
-
-
24644466859
-
Scattering resonances of microstructures and homogenization theory
-
Golowich S.E., and Weinstein M.I. Scattering resonances of microstructures and homogenization theory. Multiscale Model. Simul. 3 (2005) 477-521
-
(2005)
Multiscale Model. Simul.
, vol.3
, pp. 477-521
-
-
Golowich, S.E.1
Weinstein, M.I.2
-
33
-
-
84990623184
-
Linearized instability for nonlinear Schrödinger and Klein-Gordon equations
-
Grillakis M.G. Linearized instability for nonlinear Schrödinger and Klein-Gordon equations. Comm. Pure Appl. Math. 41 (1988) 747-774
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 747-774
-
-
Grillakis, M.G.1
-
34
-
-
0000468151
-
Stability theory of solitary waves in the presence of symmetry i
-
Grillakis M.G., Shatah J., and Strauss W.A. Stability theory of solitary waves in the presence of symmetry i. J. Funct. Anal. 74 1 (1987) 160-197
-
(1987)
J. Funct. Anal.
, vol.74
, Issue.1
, pp. 160-197
-
-
Grillakis, M.G.1
Shatah, J.2
Strauss, W.A.3
-
35
-
-
10944273602
-
On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation
-
Hajaiej H., and Stuart C.A. On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation. Adv. Nonlinear Stud. 4 (2004) 469-501
-
(2004)
Adv. Nonlinear Stud.
, vol.4
, pp. 469-501
-
-
Hajaiej, H.1
Stuart, C.A.2
-
36
-
-
10944242342
-
Theory of ultrafast nonlinear refraction in semiconductor superlattices
-
Hutchings D.C. Theory of ultrafast nonlinear refraction in semiconductor superlattices. IEEE J. Sel. Top. Quant. Electron. 10 (2004) 1124-1132
-
(2004)
IEEE J. Sel. Top. Quant. Electron.
, vol.10
, pp. 1124-1132
-
-
Hutchings, D.C.1
-
38
-
-
0007690410
-
An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation
-
Jones C.K.R.T. An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation. J. Differential Equations 71 (1988) 34-62
-
(1988)
J. Differential Equations
, vol.71
, pp. 34-62
-
-
Jones, C.K.R.T.1
-
39
-
-
0035427177
-
Stability of waves in perturbed hamiltonian systems
-
Kapitula T. Stability of waves in perturbed hamiltonian systems. Physica D 156 (2001) 186-200
-
(2001)
Physica D
, vol.156
, pp. 186-200
-
-
Kapitula, T.1
-
40
-
-
0346057259
-
Homogenization and propagation in the bistable equation
-
Keener J.P. Homogenization and propagation in the bistable equation. Physica D 136 (2000) 1-17
-
(2000)
Physica D
, vol.136
, pp. 1-17
-
-
Keener, J.P.1
-
43
-
-
0030353240
-
2 minimal blow-up solutions of critical nonlinear Schrödinger equation
-
2 minimal blow-up solutions of critical nonlinear Schrödinger equation. Ann. Inst. H. Poincaré Anal. Non linéaire. 13 (1996) 553-565
-
(1996)
Ann. Inst. H. Poincaré Anal. Non linéaire.
, vol.13
, pp. 553-565
-
-
Merle, F.1
-
45
-
-
1842736747
-
Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: Matter-wave breathers
-
Montesinos G.D., Perez-Garcia V.M., and Torres P.J. Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: Matter-wave breathers. Physica D 191 (2004) 193-210
-
(2004)
Physica D
, vol.191
, pp. 193-210
-
-
Montesinos, G.D.1
Perez-Garcia, V.M.2
Torres, P.J.3
-
46
-
-
0032606487
-
Dynamics of discrete solitons in optical waveguide arrays
-
Morandotti R., Peschel U., Aitchison J.S., Eisenberg H.S., and Silberberg Y. Dynamics of discrete solitons in optical waveguide arrays. Phys. Rev. Lett. 83 (1999) 2726-2729
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 2726-2729
-
-
Morandotti, R.1
Peschel, U.2
Aitchison, J.S.3
Eisenberg, H.S.4
Silberberg, Y.5
-
47
-
-
8744219710
-
Self trapping of light in a two dimensional photonic lattice
-
Musslimani Z.H., and Yang J. Self trapping of light in a two dimensional photonic lattice. J. Opt. Soc. Amer. B 21 (2004) 973-981
-
(2004)
J. Opt. Soc. Amer. B
, vol.21
, pp. 973-981
-
-
Musslimani, Z.H.1
Yang, J.2
-
48
-
-
0002776502
-
Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
-
Oh Y.-G. Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials. Comm. Math. Phys. 121 (1989) 11-33
-
(1989)
Comm. Math. Phys.
, vol.121
, pp. 11-33
-
-
Oh, Y.-G.1
-
50
-
-
37649031143
-
Bifurcations and stability of gap solitons in periodic potentials
-
Pelinovsky D.E., Sukhorukov A.A., and Kivshar Y.S. Bifurcations and stability of gap solitons in periodic potentials. Phys. Rev. E 70 (2004) 036618
-
(2004)
Phys. Rev. E
, vol.70
, pp. 036618
-
-
Pelinovsky, D.E.1
Sukhorukov, A.A.2
Kivshar, Y.S.3
-
51
-
-
0038402861
-
Equation of an extraordinary soliton
-
Petviashvili V.I. Equation of an extraordinary soliton. Sov. J. Plasma Phys. 2 (1976) 257
-
(1976)
Sov. J. Plasma Phys.
, vol.2
, pp. 257
-
-
Petviashvili, V.I.1
-
53
-
-
0000173206
-
On the bound states of the nonlinear Schrödinger equation with a linear potential
-
Rose H.A., and Weinstein M.I. On the bound states of the nonlinear Schrödinger equation with a linear potential. Physica D 30 (1988) 207-218
-
(1988)
Physica D
, vol.30
, pp. 207-218
-
-
Rose, H.A.1
Weinstein, M.I.2
-
54
-
-
37649029152
-
Resonant nonlinearity management for nonlinear Schrödinger solitons
-
Sakagouchi H., and Malomed B.A. Resonant nonlinearity management for nonlinear Schrödinger solitons. Phys. Rev. E 70 (2004) 066613
-
(2004)
Phys. Rev. E
, vol.70
, pp. 066613
-
-
Sakagouchi, H.1
Malomed, B.A.2
-
55
-
-
28844491730
-
Matter-wave solitons in nonlinear optical lattices
-
Sakagouchi H., and Malomed B.A. Matter-wave solitons in nonlinear optical lattices. Phys. Rev. E 72 (2005) 046610
-
(2005)
Phys. Rev. E
, vol.72
, pp. 046610
-
-
Sakagouchi, H.1
Malomed, B.A.2
-
56
-
-
33748099959
-
-
Y. Sivan, G. Fibich, M.I. Weinstein, preprint
-
-
-
-
57
-
-
0037972942
-
Discrete nonlinear dynamics of weakly coupled Bose-Einstein condensates
-
Smerzi A., and Trombettoni A. Discrete nonlinear dynamics of weakly coupled Bose-Einstein condensates. Chaos 13 (2003) 766-776
-
(2003)
Chaos
, vol.13
, pp. 766-776
-
-
Smerzi, A.1
Trombettoni, A.2
-
63
-
-
0041473959
-
Nonlinear Schrödinger equations and sharp interpolation estimates
-
Weinstein M.I. Nonlinear Schrödinger equations and sharp interpolation estimates. Comm. Math. Phys. 87 (1982/1983) 567-576
-
(1982)
Comm. Math. Phys.
, vol.87
, pp. 567-576
-
-
Weinstein, M.I.1
-
64
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schrödinger equations
-
Weinstein M.I. Modulational stability of ground states of nonlinear Schrödinger equations. SIAM J. Math. Anal. 16 (1985) 472-491
-
(1985)
SIAM J. Math. Anal.
, vol.16
, pp. 472-491
-
-
Weinstein, M.I.1
-
65
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
Weinstein M.I. Lyapunov stability of ground states of nonlinear dispersive evolution equations. Comm. Pure Appl. Math. 39 (1986) 51-68
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 51-68
-
-
Weinstein, M.I.1
-
66
-
-
0033130275
-
Excitation thresholds for nonlinear localized modes on lattices
-
Weinstein M.I. Excitation thresholds for nonlinear localized modes on lattices. Nonlinearity 12 (1999) 673-691
-
(1999)
Nonlinearity
, vol.12
, pp. 673-691
-
-
Weinstein, M.I.1
-
67
-
-
0141745603
-
Excitation and dynamics of pulses in coupled fiber arrays
-
Weinstein M.I., and Yeary B. Excitation and dynamics of pulses in coupled fiber arrays. Phys. Lett. A 222 (1996) 157-162
-
(1996)
Phys. Lett. A
, vol.222
, pp. 157-162
-
-
Weinstein, M.I.1
Yeary, B.2
|