New solitons and kink solutions for the Gardner equation

被引：230

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 08期

关键词：

KdV equation; Gardner equation; Solitary wave solutions; Tanh method;

D O I：

10.1016/j.cnsns.2005.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Gardner equation, also called combined KdV-mKdV equation, is studied. New hyperbolic ansatze are proposed to derive solitons solutions. The tanh method is used as well to obtain kink solutions. (C) 2005 Elsevier B. V. All rights reserved.

引用

页码：1395 / 1404

页数：10

共 12 条

[1]

[Anonymous], 2003, MMRC AMSS

[2] Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs [J].

Baldwin, D ;

Göktas, Ü ;

Hereman, W ;

Hong, L ;

Martino, RS ;

Miller, JC .

JOURNAL OF SYMBOLIC COMPUTATION, 2004, 37 (06) :669-705

[3] New kinds of solutions to Gardner equation [J].

Fu, ZT ;

Liu, SD ;

Liu, SK .

CHAOS SOLITONS & FRACTALS, 2004, 20 (02) :301-309

[4] 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

[5] The tanh method .2. Perturbation technique for conservative systems [J].

Malfliet, W ;

Hereman, W .

PHYSICA SCRIPTA, 1996, 54 (06) :569-575

[6] The tanh method .1. Exact solutions of nonlinear evolution and wave equations [J].

Malfliet, W ;

Hereman, W .

PHYSICA SCRIPTA, 1996, 54 (06) :563-568

[7]

Wazwaz A.M., 2002, Partial differential equations: methods and applications

[8] An analytic study of compactons structures in a class of nonlinear dispersive equations [J].

Wazwaz, AM .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2003, 63 (01) :35-44

[9] Compactons in a class of nonlinear dispersive equations [J].

Wazwaz, AM .

MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (3-4) :333-341

[10] A study on nonlinear dispersive partial differential equations of compact and noncompact solutions [J].

Wazwaz, AM .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (2-3) :399-409

← 1 2 →