-
2
-
-
0029270874
-
Phase-locked stationary soliton states in birefringent nonlinear optical fibers
-
N. AKHMEDIEV, A. BURYAK, J.M. SOTO-CRESPO, AND D. ANDERSON, Phase-locked stationary soliton states in birefringent nonlinear optical fibers, J. Opt. Soc. Amer. B, 12 (1995), pp. 434-439.
-
(1995)
J. Opt. Soc. Amer. B
, vol.12
, pp. 434-439
-
-
Akhmediev, N.1
Buryak, A.2
Soto-Crespo, J.M.3
Anderson, D.4
-
3
-
-
0002085123
-
Steady state pulses in a birefringent nonlinear optical fiber: Soliton multiplication processes
-
N. AKHMEDIEV, V. ELEONSKII, E. KULAGIN, AND L. SHILNIKOV, Steady state pulses in a birefringent nonlinear optical fiber: Soliton multiplication processes, Sov. Tech. Phys. Lett, 15 (1989), pp. 587-588.
-
(1989)
Sov. Tech. Phys. Lett
, vol.15
, pp. 587-588
-
-
Akhmediev, N.1
Eleonskii, V.2
Kulagin, E.3
Shilnikov, L.4
-
4
-
-
0005235678
-
A topological invariant arising in the stability analysis of travelling waves
-
J.C. ALEXANDER, R.A. GARDNER, AND C.K.R.T. JONES, A topological invariant arising in the stability analysis of travelling waves, J. Reine Angew. Math., 410 (1990), pp. 167-212.
-
(1990)
J. Reine Angew. Math.
, vol.410
, pp. 167-212
-
-
Alexander, J.C.1
Gardner, R.A.2
Jones, C.K.R.T.3
-
5
-
-
0031482262
-
Stability of pulses on optical fibers with phase-sensitive amplifiers
-
J.C. ALEXANDER, M.G. GRILLAKIS, C.K.R.T. JONES, AND B. SANDSTEDE, Stability of pulses on optical fibers with phase-sensitive amplifiers, Z. Angew. Math. Phys., 48 (1997), pp. 175-192.
-
(1997)
Z. Angew. Math. Phys.
, vol.48
, pp. 175-192
-
-
Alexander, J.C.1
Grillakis, M.G.2
Jones, C.K.R.T.3
Sandstede, B.4
-
6
-
-
0023150231
-
Polarization instabilities for solitons in birefringent fibers
-
K.J. BLOW, N.J. DORAN, AND D. WOOD, Polarization instabilities for solitons in birefringent fibers, Opt. Lett., 12 (1987), pp. 202-204.
-
(1987)
Opt. Lett.
, vol.12
, pp. 202-204
-
-
Blow, K.J.1
Doran, N.J.2
Wood, D.3
-
7
-
-
84975565210
-
Vector solitons in birefringent nonlinear dispersive media
-
D.N. CHRISTODOULIDES AND R.I. JOSEPH, Vector solitons in birefringent nonlinear dispersive media, Opt. Lett. 13 (1988), pp. 53-55.
-
(1988)
Opt. Lett.
, vol.13
, pp. 53-55
-
-
Christodoulides, D.N.1
Joseph, R.I.2
-
9
-
-
0026626030
-
Polarization multiplexing with solitons
-
G. EVANGELIDES, L. MOLLENAUER, J. GORDON, AND N. BERGANO, Polarization multiplexing with solitons, J. Lightwave Tech., 10 (1992), pp. 28-35.
-
(1992)
J. Lightwave Tech.
, vol.10
, pp. 28-35
-
-
Evangelides, G.1
Mollenauer, L.2
Gordon, J.3
Bergano, N.4
-
10
-
-
0343676826
-
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion
-
A. HASEGAWA AND F. TAPPERT, Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion, Appl. Phys. Lett., 23 (1973), pp. 142-144.
-
(1973)
Appl. Phys. Lett.
, vol.23
, pp. 142-144
-
-
Hasegawa, A.1
Tappert, F.2
-
11
-
-
0040942605
-
The gap lemma and geometric critera for instability of viscous shock profiles
-
R.A. GARDNER AND K. ZUMBRUN, The gap lemma and geometric critera for instability of viscous shock profiles, Comm. Pure Appl. Math., 51 (1998), pp. 797-855.
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 797-855
-
-
Gardner, R.A.1
Zumbrun, K.2
-
12
-
-
84990563336
-
Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system
-
M. GRILLAKIS, Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system, Comm. Pure Appl. Math., 43 (1990), pp. 299-333.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, pp. 299-333
-
-
Grillakis, M.1
-
13
-
-
29444432472
-
Stability theory of solitary waves in the presence of symmetry, II
-
M. GRILLAKIS, J. SHATAH, AND W. STRAUSS, Stability theory of solitary waves in the presence of symmetry, II, J. Funct. Anal., 94 (1990), pp. 308-348.
-
(1990)
J. Funct. Anal.
, vol.94
, pp. 308-348
-
-
Grillakis, M.1
Shatah, J.2
Strauss, W.3
-
14
-
-
0000670781
-
Instability of standing waves for nonlinear Schrödinger type equations
-
C.R.T. JONES, Instability of standing waves for nonlinear Schrödinger type equations, Ergodic Theory Dynam. Systems, 8 (1988), pp. 119-138.
-
(1988)
Ergodic Theory Dynam. Systems
, vol.8
, pp. 119-138
-
-
Jones, C.R.T.1
-
15
-
-
84967743294
-
Stability of travelling wave solutions of the Fitzhugh-Nagumo system
-
C.R.T. JONES, Stability of travelling wave solutions of the Fitzhugh-Nagumo system, Trans. Amer. Math. Soc., 286 (1984), pp. 431-469.
-
(1984)
Trans. Amer. Math. Soc.
, vol.286
, pp. 431-469
-
-
Jones, C.R.T.1
-
16
-
-
0032622893
-
The evans function and generalized Melnikov integrals
-
T. KAPITULA, The Evans function and generalized Melnikov integrals, SIAM J. Math. Anal., 30 (1999), pp. 273-297.
-
(1999)
SIAM J. Math. Anal.
, vol.30
, pp. 273-297
-
-
Kapitula, T.1
-
17
-
-
0033628312
-
Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
-
T. KAPITULA AND J. RUBIN, Existence and stability of standing hole solutions to complex Ginzburg-Landau equations, Nonlinearity, 13 (2000), pp. 77-112.
-
(2000)
Nonlinearity
, vol.13
, pp. 77-112
-
-
Kapitula, T.1
Rubin, J.2
-
18
-
-
0002348145
-
Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
-
T. KAPITULA AND B. SANDSTEDE, Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations, Phys. D, 124 (1998), pp. 58-103.
-
(1998)
Phys. D
, vol.124
, pp. 58-103
-
-
Kapitula, T.1
Sandstede, B.2
-
19
-
-
0001127339
-
Second-order perturbations for solitons in optical fibers
-
D. KAUP, Second-order perturbations for solitons in optical fibers, Phys. Rev. A, 44 (1991), pp. 4582-4590.
-
(1991)
Phys. Rev. A
, vol.44
, pp. 4582-4590
-
-
Kaup, D.1
-
20
-
-
0001269503
-
Perturbation theory for the manakov soliton and its application to pulse propagation in randomly birefringent fibers
-
D. KAUP AND T. LAKOBA, Perturbation theory for the Manakov soliton and its application to pulse propagation in randomly birefringent fibers, Phys. Rev. E (3), 56 (1997), pp. 6147-6165.
-
(1997)
Phys. Rev. E (3)
, vol.56
, pp. 6147-6165
-
-
Kaup, D.1
Lakoba, T.2
-
21
-
-
0000452782
-
Soliton trapping and daughter waves in the Manakov model
-
D. KAUP AND B.A. MALOMED, Soliton trapping and daughter waves in the Manakov model, Phys. Rev. A, 48 (1993), pp. 599-604.
-
(1993)
Phys. Rev. A
, vol.48
, pp. 599-604
-
-
Kaup, D.1
Malomed, B.A.2
-
22
-
-
11544364689
-
Structural stability of non-groundstate traveling waves of coupled nonlinear schrödinger systems
-
Y. LI AND K. PROMISLOW, Structural stability of non-groundstate traveling waves of coupled nonlinear Schrödinger systems, Phys. D, 124 (1998), pp. 137-165.
-
(1998)
Phys. D
, vol.124
, pp. 137-165
-
-
Li, Y.1
Promislow, K.2
-
23
-
-
0000763166
-
On the theory of two-dimensional stationary self-focusing of electro-magnetic waves
-
S.V. MANAKOV, On the theory of two-dimensional stationary self-focusing of electro-magnetic waves, Soviet Physics JETP, 38 (1974), pp. 248-253.
-
(1974)
Soviet Physics JETP
, vol.38
, pp. 248-253
-
-
Manakov, S.V.1
-
24
-
-
84975605130
-
Stability of solitons in birefringent optical fibers, I. Equal propagation amplitudes
-
C. MENYUK, Stability of solitons in birefringent optical fibers, I. Equal propagation amplitudes, Opt. Lett., 12 (1987), pp. 614-616.
-
(1987)
Opt. Lett.
, vol.12
, pp. 614-616
-
-
Menyuk, C.1
-
25
-
-
0024914687
-
Pulse propagation in an elliptically birefringent optical Kerr medium
-
C. MENYUK, Pulse propagation in an elliptically birefringent optical Kerr medium, IEEE J. Quant. Electron., 25 (1989), pp. 2674-2682.
-
(1989)
IEEE J. Quant. Electron.
, vol.25
, pp. 2674-2682
-
-
Menyuk, C.1
-
26
-
-
0001332821
-
Stability of walking vector solitons
-
D. MIHALACHE, D. MAZILU, AND L. TORNER, Stability of walking vector solitons, Phys. Rev. Lett., 81 (1998), pp. 4353-4356.
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 4353-4356
-
-
Mihalache, D.1
Mazilu, D.2
Torner, L.3
-
27
-
-
84975557382
-
Polarization scattering by soliton-soliton collisions
-
L.F. MOLLENAUER, J.P. GORDON, AND F. HEISMANN, Polarization scattering by soliton-soliton collisions, Opt. Lett., 20 (1995), pp. 2060-2063.
-
(1995)
Opt. Lett.
, vol.20
, pp. 2060-2063
-
-
Mollenauer, L.F.1
Gordon, J.P.2
Heismann, F.3
-
28
-
-
0002106841
-
Hamiltonian dynamics of solitons in optical fibers
-
D.J. MURAKI AND W.L. KATH, Hamiltonian dynamics of solitons in optical fibers, Phys. D, 48 (1991), pp. 53-64.
-
(1991)
Phys. D
, vol.48
, pp. 53-64
-
-
Muraki, D.J.1
Kath, W.L.2
-
29
-
-
0000301402
-
Soliton solutions of multicomponent nonlinear Schrödinger equation
-
Y. NOGAMI AND C.S. WARKE, Soliton solutions of multicomponent nonlinear Schrödinger equation, Phys. Lett., 59 (1976), pp. 251-253.
-
(1976)
Phys. Lett.
, vol.59
, pp. 251-253
-
-
Nogami, Y.1
Warke, C.S.2
-
30
-
-
0003153102
-
Eigenvalues, and instabilities of solitary waves
-
R.L. PEGO AND M.I. WEINSTEIN, Eigenvalues, and instabilities of solitary waves, Philos. Trans. Roy. Soc. London Ser. A, 340 (1992), pp. 47-94.
-
(1992)
Philos. Trans. Roy. Soc. London Ser. A
, vol.340
, pp. 47-94
-
-
Pego, R.L.1
Weinstein, M.I.2
-
31
-
-
0001640976
-
Stationary soliton-like pulses in birefringent optical fibers
-
J.M. SOTO-CRESPO, N.N. AKHMEDIEV, AND A. ANKIEWICZ, Stationary soliton-like pulses in birefringent optical fibers, Phys. Rev. E, 51 (1995), pp. 3547-3555.
-
(1995)
Phys. Rev. E
, vol.51
, pp. 3547-3555
-
-
Soto-Crespo, J.M.1
Akhmediev, N.N.2
Ankiewicz, A.3
-
32
-
-
0028550323
-
Pulse collisions and polarization conversion for optical fibers
-
C. SOPHOCLEOUS AND D.F. PARKER, Pulse collisions and polarization conversion for optical fibers, Opt. Comm., 112 (1994), p. 214.
-
(1994)
Opt. Comm.
, vol.112
, pp. 214
-
-
Sophocleous, C.1
Parker, D.F.2
-
33
-
-
35949010580
-
Bound solitary waves in birefringent optical fiber
-
M.W. TRATNIK AND J.E. SIPE, Bound solitary waves in birefringent optical fiber, Phys. Rev. A, 38 (1988), pp. 2011-2017.
-
(1988)
Phys. Rev. A
, vol.38
, pp. 2011-2017
-
-
Tratnik, M.W.1
Sipe, J.E.2
-
34
-
-
0001076665
-
Dynamics of optical pulses in randomly birefringent fibers
-
T. UEDA AND W. KATH, Dynamics of optical pulses in randomly birefringent fibers, Phys. D, 55 (1992), pp. 166-181.
-
(1992)
Phys. D
, vol.55
, pp. 166-181
-
-
Ueda, T.1
Kath, W.2
-
35
-
-
0030083457
-
Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence
-
P.A. WAI AND C.R. MENYUK, Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence, J. Lightwave Tech., 14 (1996), pp. 148-157.
-
(1996)
J. Lightwave Tech.
, vol.14
, pp. 148-157
-
-
Wai, P.A.1
Menyuk, C.R.2
-
36
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schrödinger equations
-
M. WEINSTEIN, Modulational stability of ground states of nonlinear Schrödinger equations, SIAM J. Math. Anal, 16 (1985), pp. 472-491.
-
(1985)
SIAM J. Math. Anal
, vol.16
, pp. 472-491
-
-
Weinstein, M.1
-
37
-
-
84990553584
-
Liapunov stability of ground states of nonlinear dispersive evolution equations
-
M. WEINSTEIN, Liapunov stability of ground states of nonlinear dispersive evolution equations, Comm. Pure Appl. Math., 39 (1986), pp. 51-68.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 51-68
-
-
Weinstein, M.1
-
38
-
-
0033074434
-
Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics
-
J. YANG, Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics, Phys. Rev. E (3), 59 (1999), pp. 2393-2405.
-
(1999)
Phys. Rev. E (3)
, vol.59
, pp. 2393-2405
-
-
Yang, J.1
|