| 广义双耦合sinh-cosh-Gordon方程行波解的分支 |
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| 引用本文： | 唐生强,林松涛. 广义双耦合sinh-cosh-Gordon方程行波解的分支[J]. 桂林电子科技大学学报, 2007, 27(3): 232-235 |
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| 作者姓名： | 唐生强 林松涛 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004;桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 广西科学基金 , 广西新世纪高等教育教学改革工程项目 |
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| 摘 要： | 运用平面动力系统理论、分支理论和直接方法,研究了广义双耦合sinh-cosh-Gordon方程,证明该方程存在无界行波解和不可数无穷多光滑周期行波解.并在不同的参数条件下,给出了该方程无界行波解和周期行波解存在的各类充分条件,在所给出的参数条件下求出了系统(3)的所有显示精确行波解.
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| 关 键 词： | 孤立行波解 无界行波解波 周期行波解 广义双耦合sinh-cosh-Gordon方程 |
| 文章编号： | 1673-808X（2007）03-0232-04 |
| 修稿时间： | 2007-04-27 |
Bifurcation of traveling wave solutions for the double combined sinh-cosh-Gordon equations |
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| TANG Sheng-qiang,LIN Song-tao. Bifurcation of traveling wave solutions for the double combined sinh-cosh-Gordon equations[J]. Journal of Guilin University of Electronic Technology, 2007, 27(3): 232-235 |
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| Authors: | TANG Sheng-qiang LIN Song-tao |
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| Affiliation: | School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China |
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| Abstract: | The theory of dynamical systems,the theory of bifurcation,and the direct method are referred to in investigating the generalized double combined sinh-cosh-Gordon equations.The existence of unbounded traveling wave solutions and uncountable infinite periodic traveling wave solutions are proved.Under different parametric conditions,various sufficient conditions are given to guarantee the existence of unbounded traveling wave solutions and uncountable infinite periodical traveling wave solutions.All exact explicit formula of system(3) are listed. |
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| Keywords: | solitary traveling wave solution unbounded traveling wave solution periodic traveling wave solution generalized double combined sinh-cosh-Gordon equation |
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