| 广义水波方程组行波解的分支 |
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| 引用本文： | 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. |
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| 作者姓名： | 荣继红 朱冬艳 唐生强 |
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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 |
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| 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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| 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.
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| 关 键 词： | 广义水波方程组 孤立波 扭结波 反扭结波 |
| 收稿时间： | 2007/5/29 0:00:00 |
| 修稿时间： | 2007/7/13 0:00:00 |
Bifurcations of Travelling Wave Solutions for the Generalized Water Wave Equations |
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| RONG Ji-hong,ZHU Dong-yan and TANG Sheng-qiang.Bifurcations of Travelling Wave Solutions for the Generalized Water Wave Equations[J].Guangxi Sciences,2008,15(3):238-243. |
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| Authors: | RONG Ji-hong ZHU Dong-yan and TANG Sheng-qiang |
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| Institution: | School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China,School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China and School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China |
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| 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. |
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| Keywords: | generalized water wave equations solitary wave kink wave anti-kink wave |
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