Explicit Solutions and Bifurcations for a Class of Generalized Boussinesq Wave Equation

In this paper, the generalized Boussinesq wave equation u_tt - u_xx＋ a（u^m）xx ＋bu_xxxx = 0 is investigated by using the bifurcation theory and the method of phase portraits analysis. Under the different parameter conditions, the exact explicit parametric representations for solitary wave solutions a...

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Bibliographic Details
Published in:Communications in theoretical physics 2013-03, Vol.59 (3), p.307-310
Main Author: 马志民 孙峪怀 刘福生
Format: Article
Language:English
Subjects:
Bifurcation theory
Bifurcations
Boussinesq equations
Representations
Solitary waves
Theoretical physics
Wave equations
分岔
分歧理论
周期波解
孤立波解
广义
波动方程
相图分析
色情
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Summary:In this paper, the generalized Boussinesq wave equation u_tt - u_xx＋ a（u^m）xx ＋bu_xxxx = 0 is investigated by using the bifurcation theory and the method of phase portraits analysis. Under the different parameter conditions, the exact explicit parametric representations for solitary wave solutions and periodic wave solutions are obtained.
ISSN:0253-6102
DOI:10.1088/0253-6102/59/3/11