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

被引：0

作者：

Jibin LI Department of Mathematics Zhejiang Normal University Jinhua China Kunming University of Science and Technology Kunming China ^{[321004
,650093
]}

机构：

来源：

ScienceinChina(SeriesA:Mathematics) | 2007年 / 02期

关键词：

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

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

<正>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 axe 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

共 4 条

[1]

Smooth and non-smooth travelling waves in a nonlinearly dispersive equation. Li J B,Liu Z R. Applied Mathematical Modelling . 2000

[2]

Bounded travelling wave solutions for the (n+1)-dimensional sine- and sinh-Gordon equations. Li J B,Li M. Chaos, Solitons and Fractals . 2005

[3]

The tanh method and a variable separated ODE method for solving double sine-Gordon equation. Wazwaz A M. Physics Letters A . 2006

[4]

Travelling wave solutions for a class of nonlinear dispersive equations. Li J B,Liu Z R. Chin Ann of Math . 2002

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