Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation

被引：82

作者：

Li, B ^{[1
]}

Chen, Y ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 146卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

extended-tanh method; GZK equation; travelling wave solutions; solitons;

D O I：

10.1016/S0096-3003(02)00610-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by means of a proper transformation and symbolic computation, we study the exact travelling wave solutions for a generalized Zakharov-Kuznetsov (GZK) equation by using the extended-tanh method and direct assumption method. As a result, rich exact travelling wave solutions, which contain new kink-shaped solitons, bell-shaped solitons, periodic solutions, combined formal solitons, rational solutions and singular solitons for GZK equation, are obtained. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：653 / 666

页数：14

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