Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation

被引：12

作者：

Li, Ji-bin ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Kunming Univ Sci & Technol, Kunming 650093, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 02期

关键词：

nonlinear wave; bifurcation; exact explicit traveling wave solution; double sine-Gordon equation; multiple sine-Gordon equation;

D O I：

10.1007/s11425-007-2078-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking bounded wave solutions are obtained. For the double sine-Gordon equation, the exact explicit parametric representations of the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.

引用

页码：153 / 164

页数：12

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