Exact Solitary-wave Solutions and Periodic Wave Solutions for Generalized Modified Boussinesq Equation and the Effect of Wave Velocity on Wave Shape

被引：0
|
作者：
Wei-guo Zhang~1 Shao-wei Li~2 Wei-zhong Tian~1 Lu Zhang~1 1 College of Science University of Shanghai for Science and Technology
机构：
来源：
Acta Mathematicae Applicatae Sinica | 2008年 / 04期
关键词：
Generalized modified Boussinesq equation; exact solitary-wave solution; periodic wave solution;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
By means of the undetermined assumption method,we obtain some new exact solitary-wave solu- tions with hyperbolic secant function fractional form and periodic wave solutions with cosine function form for the generalized modified Boussinesq equation.We also discuss the boundedness of these solutions.More over, we study the correlative characteristic of the solitary-wave solutions and the periodic wave solutions along with the travelling wave velocity’s variation.
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收藏
页码：691 / 704
页数：14
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