Multiple soliton solutions for (2+1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations

被引：47

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 13期

关键词：

SK equation; CDG equation; Hirota bilinear method; multiple soliton solutions; multiple singular soliton solutions; SHALLOW-WATER WAVES; NONLINEAR EVOLUTION EQUATION; HIROTA 3-SOLITON CONDITION; SINGULAR KINK SOLUTIONS; TANH-COTH METHOD; MODEL-EQUATIONS; KP EQUATION; BILINEAR EQUATIONS; SEARCH; FORM;

D O I：

10.1002/mma.1460

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multiple soliton solutions for the (2+1)-dimensional Sawada-Kotera and the Caudrey-Dodd-Gibbon equations are formally derived. Moreover, multiple singular soliton solutions are obtained for each equation. The simplified form of Hirota's bilinear method is employed to conduct this analysis. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：1580 / 1586

页数：7

共 30 条

[1] 1-soliton solution of (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media
Biswas, Anjan
[J]. PHYSICS LETTERS A, 2008, 372 (38) : 5941 - 5943
[2] A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
Dehghan, Mehdi
Shokri, Ali
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 79 (03) : 700 - 715
[3] Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
Geng, XG
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (09): : 2289 - 2303
[4] Quasi-periodic solutions for some (2+1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
Geng, XG
Cao, CW
Dai, HH
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (05): : 989 - 1004
[5] N-soliton solution and its Wronskian form of a (3+1)-dimensional nonlinear evolution equation
Geng, Xianguo
Ma, Yunling
[J]. PHYSICS LETTERS A, 2007, 369 (04) : 285 - 289
[6] HEI Y, 2010, J MATH RES, V2, P157
[7] Symbolic methods to construct exact solutions of nonlinear partial differential equations
Hereman, W
Nuseir, A
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 1997, 43 (01) : 13 - 27
[8] A SEARCH FOR BILINEAR EQUATIONS PASSING HIROTA 3-SOLITON CONDITION .1. KDV-TYPE BILINEAR EQUATIONS
HIETARINTA, J
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (08) : 1732 - 1742
[9] A SEARCH FOR BILINEAR EQUATIONS PASSING HIROTA 3-SOLITON CONDITION .2. MKDV-TYPE BILINEAR EQUATIONS
HIETARINTA, J
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (09) : 2094 - 2101
[10] RESONANCE OF SOLITONS IN ONE DIMENSION
HIROTA, R
ITO, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (03) : 744 - 748

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