New explicit and exact travelling wave solutions for a class of nonlinear evolution equations

被引：9

作者：

Xia, TC ^{[1
]}

Zhang, HQ ^{[1
]}

Yan, ZY ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 07期

关键词：

equation; periodic solution; solitary wave solution;

D O I：

10.1023/A:1016359118468

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the help of Mathematica, many travelling for a class of nonlinear evolution equations u(u) + au(xx) + bu + cu(2) + du(3) = 0 are obtained by using hyperbola function method and WU-elimation method, which include new travelling wave solutions, periodic solutions and kink soliton solutions. Some equations such as Duffing equation, sin-Gordon equation, phi (4) and Klein-Gordon equation are particular cases of the evolution equations. The method can also be applied to other nonlinear equations.

引用

页码：788 / 793

页数：6

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