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

被引：0

作者：

Ji-bin Li

机构：

[1] Zhejiang Normal University,Department of Mathematics

[2] Kunming University of Science and Technology,undefined

来源：

Science in China Series A: Mathematics | 2007年 / 50卷

关键词：

nonlinear wave; bifurcation; exact explicit traveling wave solution; double sine-Gordon equation; multiple sine-Gordon equation; 35B10; 35L70; 35Q51;

D O I：

暂无

中图分类号：

学科分类号：

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：11

共 7 条

[1]

Li J. B.(2005)Bounded travelling wave solutions for the ( Chaos, Solitons and Fractals 25 1037-1047

[2]

Li M.(2006) + 1)-dimensional sine-and sinh-Gordon equations Physics Letter A 350 367-370

[3]

Wazwaz A. M.(2000)The tanh method and a variable separated ODE method for solving double sine-Gordon equation Appl Math Modeling 25 41-56

[4]

Li J. B.(2002)Smooth and non-smooth travelling waves in a nonlinearly dispersive equation Chin Ann of Math 23B 397-418

[5]

Liu Z. R.(undefined)Travelling wave solutions for a class of nonlinear dispersive equations undefined undefined undefined-undefined

[6]

Li J. B.(undefined)undefined undefined undefined undefined-undefined

[7]

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