-
3
-
-
0002557939
-
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
-
(translated from Zh. Èksper. Teoret. Fiz. 61 (1971) 118-134)
-
Zakharov V.E., and Shabat A.B. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media. Sov. Phys. JETP 34 (1972) 62-69 (translated from Zh. Èksper. Teoret. Fiz. 61 (1971) 118-134)
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
4
-
-
0000169358
-
Interaction between solitons in a stable medium
-
(translated from Zh. Èksper. Teoret. Fiz. 64 (1973) 1627-1639)
-
Zakharov V.E., and Shabat A.B. Interaction between solitons in a stable medium. Sov. Phys. JETP 37 (1973) 823-828 (translated from Zh. Èksper. Teoret. Fiz. 64 (1973) 1627-1639)
-
(1973)
Sov. Phys. JETP
, vol.37
, pp. 823-828
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
5
-
-
0040621774
-
General N-soliton solution of the AKNS class on arbitrary background
-
Neugebauer G., and Meinel R. General N-soliton solution of the AKNS class on arbitrary background. Phys. Lett. A 100 (1984) 467-470
-
(1984)
Phys. Lett. A
, vol.100
, pp. 467-470
-
-
Neugebauer, G.1
Meinel, R.2
-
8
-
-
0004799048
-
Explicit formulas for solutions of a nonlinear Schrödinger equation
-
1051
-
Its A.R., and Kotljarov V.P. Explicit formulas for solutions of a nonlinear Schrödinger equation. Dokl. Akad. Nauk Ukrain. SSR Ser. A 11 (1976) 965-968 1051
-
(1976)
Dokl. Akad. Nauk Ukrain. SSR Ser. A
, vol.11
, pp. 965-968
-
-
Its, A.R.1
Kotljarov, V.P.2
-
9
-
-
0003006528
-
The perturbed plane-wave solutions of the cubic Schrödinger equation
-
Ma Y.C. The perturbed plane-wave solutions of the cubic Schrödinger equation. Stud. Appl. Math. 60 (1979) 43-58
-
(1979)
Stud. Appl. Math.
, vol.60
, pp. 43-58
-
-
Ma, Y.C.1
-
10
-
-
0001951716
-
nonlinear Schrödinger equations and their solutions
-
Peregrine D.H., and waves W. nonlinear Schrödinger equations and their solutions. J. Austral. Math. Soc. Ser. B 25 (1983) 16-43
-
(1983)
J. Austral. Math. Soc. Ser. B
, vol.25
, pp. 16-43
-
-
Peregrine, D.H.1
waves, W.2
-
11
-
-
11744388723
-
First-order exact solutions of the nonlinear Schrödinger equation
-
(translated from Teoret. Mat. Fiz. 72 (1987) 183-196)
-
Akhmediev N.N., Eleonskii{dotless}̌ V.M., and Kulagin N.E. First-order exact solutions of the nonlinear Schrödinger equation. Theor. Math. Phys. 72 (1987) 809-818 (translated from Teoret. Mat. Fiz. 72 (1987) 183-196)
-
(1987)
Theor. Math. Phys.
, vol.72
, pp. 809-818
-
-
Akhmediev, N.N.1
Eleonskiǐ, V.M.2
Kulagin, N.E.3
-
12
-
-
0007603790
-
Multiple pole solutions of the nonlinear Schrödinger equation
-
Olmedilla E. Multiple pole solutions of the nonlinear Schrödinger equation. Physica D 25 (1987) 330-346
-
(1987)
Physica D
, vol.25
, pp. 330-346
-
-
Olmedilla, E.1
-
13
-
-
36149035438
-
General soliton solutions of an n-dimensional nonlinear Schrödinger equation
-
Hai W.H. General soliton solutions of an n-dimensional nonlinear Schrödinger equation. J. Phys. A: Math. Gen. 25 (1992) L515-L519
-
(1992)
J. Phys. A: Math. Gen.
, vol.25
-
-
Hai, W.H.1
-
14
-
-
0038374490
-
A new approach to the cubic Schrödinger equation: an application of the decomposition technique
-
Khuri S.A. A new approach to the cubic Schrödinger equation: an application of the decomposition technique. Appl. Math. Comput. 97 (1998) 251-254
-
(1998)
Appl. Math. Comput.
, vol.97
, pp. 251-254
-
-
Khuri, S.A.1
-
15
-
-
0040117080
-
A note on slowly decaying solutions of the defocusing nonlinear Schrödinger equation
-
Barran S., and Kovalyov M. A note on slowly decaying solutions of the defocusing nonlinear Schrödinger equation. J. Phys. A: Math. Gen. 32 (1999) 6121-6125
-
(1999)
J. Phys. A: Math. Gen.
, vol.32
, pp. 6121-6125
-
-
Barran, S.1
Kovalyov, M.2
-
16
-
-
0039741902
-
The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases
-
Tovbis A., and Venakides S. The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases. Physica D 146 (2000) 150-164
-
(2000)
Physica D
, vol.146
, pp. 150-164
-
-
Tovbis, A.1
Venakides, S.2
-
17
-
-
0038373223
-
An analytical solution to the dissipative nonlinear Schrödinger equation
-
Demiray H. An analytical solution to the dissipative nonlinear Schrödinger equation. Appl. Math. Comput. 145 (2003) 179-184
-
(2003)
Appl. Math. Comput.
, vol.145
, pp. 179-184
-
-
Demiray, H.1
-
19
-
-
0347985401
-
A complex tanh-function method applied to nonlinear equations of Schrödinger type
-
Khuri S.A. A complex tanh-function method applied to nonlinear equations of Schrödinger type. Chaos Soliton. Fract. 20 (2004) 1037-1040
-
(2004)
Chaos Soliton. Fract.
, vol.20
, pp. 1037-1040
-
-
Khuri, S.A.1
-
20
-
-
31644440712
-
A numerical solution and an exact explicit solution of the NLS equation
-
El-Sayed S.M., and Kaya D. A numerical solution and an exact explicit solution of the NLS equation. Appl. Math. Comput. 172 (2006) 1315-1322
-
(2006)
Appl. Math. Comput.
, vol.172
, pp. 1315-1322
-
-
El-Sayed, S.M.1
Kaya, D.2
-
21
-
-
33644522735
-
Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity
-
Wazwaz A.M. Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity. Math. Comput. Model. 43 (2006) 178-184
-
(2006)
Math. Comput. Model.
, vol.43
, pp. 178-184
-
-
Wazwaz, A.M.1
-
22
-
-
41449093551
-
Exact solutions to the focusing nonlinear Schrödinger equation
-
Aktosun T., Demontis F., and van der Mee C. Exact solutions to the focusing nonlinear Schrödinger equation. Inverse Probl. 23 (2007) 2171-2195
-
(2007)
Inverse Probl.
, vol.23
, pp. 2171-2195
-
-
Aktosun, T.1
Demontis, F.2
van der Mee, C.3
-
23
-
-
40649100751
-
A study on linear and nonlinear Schrödinger equations by the variational iteration method
-
Wazwaz A.M. A study on linear and nonlinear Schrödinger equations by the variational iteration method. Chaos Soliton. Fract. 37 (2008) 1136-1142
-
(2008)
Chaos Soliton. Fract.
, vol.37
, pp. 1136-1142
-
-
Wazwaz, A.M.1
-
24
-
-
41849137278
-
Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation
-
Öziş T., and Yi{dotless}ldi{dotless}ri{dotless}m A. Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation. Chaos Soliton. Fract. 38 (2008) 209-212
-
(2008)
Chaos Soliton. Fract.
, vol.38
, pp. 209-212
-
-
Öziş, T.1
Yildirim, A.2
-
25
-
-
50249151883
-
New exact complex travelling wave solutions to nonlinear Schrödinger (NLS) equation
-
Zhang H.Q. New exact complex travelling wave solutions to nonlinear Schrödinger (NLS) equation. Commun. Nonlinear Sci. Numer. Simulat. 14 (2009) 668-673
-
(2009)
Commun. Nonlinear Sci. Numer. Simulat.
, vol.14
, pp. 668-673
-
-
Zhang, H.Q.1
-
26
-
-
0000862222
-
Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
-
Ma W.X. Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations. J. Math. Phys. 33 (1992) 2464-2476
-
(1992)
J. Math. Phys.
, vol.33
, pp. 2464-2476
-
-
Ma, W.X.1
-
27
-
-
33749535089
-
K-symmetries and τ-symmetries of evolution equations and their Lie algebras
-
Ma W.X. K-symmetries and τ-symmetries of evolution equations and their Lie algebras. J. Phys. A: Math. Gen. 23 (1990) 2707-2716
-
(1990)
J. Phys. A: Math. Gen.
, vol.23
, pp. 2707-2716
-
-
Ma, W.X.1
-
29
-
-
0000541374
-
On three dimensional packets of surface waves
-
Davey A., and Stewartson K. On three dimensional packets of surface waves. Proc. Roy. Soc. A 338 (1974) 101-110
-
(1974)
Proc. Roy. Soc. A
, vol.338
, pp. 101-110
-
-
Davey, A.1
Stewartson, K.2
-
30
-
-
68349126919
-
A class of exact solutions of the generalized nonautonomous nonlinear Schrödinger equation
-
Zhang Y., Yao C.Z., Cai X.N., and Xu H.X. A class of exact solutions of the generalized nonautonomous nonlinear Schrödinger equation. Rep. Math. Phys. 63 (2009) 427-439
-
(2009)
Rep. Math. Phys.
, vol.63
, pp. 427-439
-
-
Zhang, Y.1
Yao, C.Z.2
Cai, X.N.3
Xu, H.X.4
-
31
-
-
70449535065
-
Wronskian solutions of a generalized nonautonomous nonlinear Schrödinger equation
-
preprint
-
Y. Zhang, H.X. Xu, C.Z. Yao, X.N. Cai, Wronskian solutions of a generalized nonautonomous nonlinear Schrödinger equation, preprint.
-
-
-
Zhang, Y.1
Xu, H.X.2
Yao, C.Z.3
Cai, X.N.4
-
32
-
-
0037136277
-
Complexiton solutions to the Korteweg-de Vries equation
-
Ma W.X. Complexiton solutions to the Korteweg-de Vries equation. Phys. Lett. A 301 (2002) 35-44
-
(2002)
Phys. Lett. A
, vol.301
, pp. 35-44
-
-
Ma, W.X.1
-
33
-
-
18144382273
-
Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
-
Ma W.X., and You Y.C. Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions. Trans. Amer. Math. Soc. 357 (2005) 1753-1778
-
(2005)
Trans. Amer. Math. Soc.
, vol.357
, pp. 1753-1778
-
-
Ma, W.X.1
You, Y.C.2
-
34
-
-
4544353887
-
Complexiton solutions of the Toda lattice equation
-
Ma W.X., and Maruno K. Complexiton solutions of the Toda lattice equation. Physica A 343 (2004) 219-237
-
(2004)
Physica A
, vol.343
, pp. 219-237
-
-
Ma, W.X.1
Maruno, K.2
-
35
-
-
50949104134
-
Mixed rational-soliton solutions to the Toda lattice equation
-
Hindawi Publ. Corp., New York
-
Ma W.X. Mixed rational-soliton solutions to the Toda lattice equation. Differential & Difference Equations and Applications (2006), Hindawi Publ. Corp., New York 711-720
-
(2006)
Differential & Difference Equations and Applications
, pp. 711-720
-
-
Ma, W.X.1
-
36
-
-
33947640521
-
Wronskian solutions of the Boussinesq equation - solitons, negatrons, positions and complexitons
-
Li C.X., Ma W.X., Liu X.J., and Zeng Y.B. Wronskian solutions of the Boussinesq equation - solitons, negatrons, positions and complexitons. Inverse Probl. 23 (2007) 279-296
-
(2007)
Inverse Probl.
, vol.23
, pp. 279-296
-
-
Li, C.X.1
Ma, W.X.2
Liu, X.J.3
Zeng, Y.B.4
-
37
-
-
63449113626
-
A second Wronskian formulation of the Boussinesq equation
-
Ma W.X., He J.S., and Li C.X. A second Wronskian formulation of the Boussinesq equation. Nonlinear Anal. 70 (2009) 4245-4258
-
(2009)
Nonlinear Anal.
, vol.70
, pp. 4245-4258
-
-
Ma, W.X.1
He, J.S.2
Li, C.X.3
-
38
-
-
50949109194
-
An application of the Casoratian technique to the 2D Toda lattice equation
-
Ma W.X. An application of the Casoratian technique to the 2D Toda lattice equation. Mod. Phys. Lett. B 22 (2008) 1815-1825
-
(2008)
Mod. Phys. Lett. B
, vol.22
, pp. 1815-1825
-
-
Ma, W.X.1
-
40
-
-
0003462187
-
-
Springer, Berlin
-
Belokolos E.D., Bobenko A.I., Enol'skii V.Z., Its A.R., and Matveev V.B. Algebro-Geometrical Approach to Nonlinear Integrable Equations (1994), Springer, Berlin
-
(1994)
Algebro-Geometrical Approach to Nonlinear Integrable Equations
-
-
Belokolos, E.D.1
Bobenko, A.I.2
Enol'skii, V.Z.3
Its, A.R.4
Matveev, V.B.5
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