| 引用本文： |
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荣继红,朱冬艳,唐生强.广义水波方程组行波解的分支[J].广西科学,2008,15(3):238-243. [点击复制]
- RONG Ji-hong,ZHU Dong-yan,TANG Sheng-qiang.Bifurcations of Travelling Wave Solutions for the Generalized Water Wave Equations[J].Guangxi Sciences,2008,15(3):238-243. [点击复制]
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| 摘要: |
| 应用动力系统分支理论,研究广义水波方程组行波解的分支.在固定的参数条件下给出广义水波方程组的孤立波、扭结(反扭结)波解的精确表达式,并证明该方程组存在不可数无穷多个周期波解. |
| 关键词: 广义水波方程组 孤立波 扭结波 反扭结波 |
| DOI： |
| 投稿时间：2007-05-29修订日期：2007-07-13 |
| 基金项目:This research was supported by the Science Foundation of the Education Department of Guangxi(No:D2008007),P.R.China |
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| Bifurcations of Travelling Wave Solutions for the Generalized Water Wave Equations |
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RONG Ji-hong, ZHU Dong-yan, TANG Sheng-qiang
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| (School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems.Under various parameter conditions, all exact explicit formulas of solitary wave solutions and kink (anti-kink)wave solutions and uncountable infinity many periodic wave solutions are listed. |
| Key words: generalized water wave equations solitary wave kink wave anti-kink wave |
