Multiple-soliton solutions for a (3+1)-dimensional generalized KP equation

被引：106

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 02期

关键词：

Generalized KP equation; Simplified Hirota's method; Multiple-soliton solutions; TANH METHOD; EVOLUTION;

D O I：

10.1016/j.cnsns.2011.05.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The simplified form of the Hirota's method is used to handle a generalized (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation. Multiple-soliton solutions and multiple singular soliton solutions are formally established. The coefficients of the spatial variables y and z should be of the form ak(i) and bk(i)(n) respectively, where a and b are free parameters and n is finite. The obtained solutions are general and contain other existing solutions. (C) 2011 Elsevier B.V. All rights reserved.

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收藏

页码：491 / 495

页数：5

相关论文

共 24 条

[1] Symbolic methods to construct exact solutions of nonlinear partial differential equations [J].

Hereman, W ;

Nuseir, A .

MATHEMATICS AND COMPUTERS IN SIMULATION, 1997, 43 (01) :13-27

[2] A SEARCH FOR BILINEAR EQUATIONS PASSING HIROTA 3-SOLITON CONDITION .1. KDV-TYPE BILINEAR EQUATIONS [J].

HIETARINTA, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (08) :1732-1742

[3] RESONANCE OF SOLITONS IN ONE DIMENSION [J].

HIROTA, R ;

ITO, M .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (03) :744-748

[4] N-SOLITON SOLUTIONS OF MODEL EQUATIONS FOR SHALLOW-WATER WAVES [J].

HIROTA, R ;

SATSUMA, J .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1976, 40 (02) :611-612

[5] EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].

HIROTA, R .

PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+

[6] NEW FORM OF BACKLUND TRANSFORMATIONS AND ITS RELATION TO INVERSE SCATTERING PROBLEM [J].

HIROTA, R .

PROGRESS OF THEORETICAL PHYSICS, 1974, 52 (05) :1498-1512

[7]

Hirota R., 2004, The Direct Method in Soliton Theory

[8] Soliton solutions to the Jimbo-Miwa equations and the Fordy-Gibbons-Jimbo-Miwa equation [J].

Hu, XB ;

Wang, DL ;

Tam, HW ;

Xue, WM .

PHYSICS LETTERS A, 1999, 262 (4-5) :310-320

[9] EXISTENCE AND NONEXISTENCE OF SOLITARY WAVE SOLUTIONS TO HIGHER-ORDER MODEL EVOLUTION-EQUATIONS [J].

KICHENASSAMY, S ;

OLVER, PJ .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (05) :1141-1166

[10] The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients [J].

Kobayashi, Tadashi ;

Toda, Kouichi .

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2006, 2