New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation

被引：89

作者：

Chen, HT ^{[1
]}

Zhang, HQ

机构：

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

[2] Linyi Teachers Univ, Dept Math, Linyi 276005, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 19卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/S0960-0779(03)00081-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized tanh function method is used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions. More new multiple soliton solutions are obtained for the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：71 / 76

页数：6

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