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.
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页码：153 / 164
页数：12
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