| Whitham-Broer-Kaup方程的行波解分支 |
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| 引用本文： | 曹金龙,邓习军. Whitham-Broer-Kaup方程的行波解分支[J]. 昆明理工大学学报(自然科学版), 2006, 31(4): 121-124 |
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| 作者姓名： | 曹金龙 邓习军 |
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| 作者单位： | 昆明理工大学,理学院,云南,昆明,650093;昆明理工大学,理学院,云南,昆明,650093 |
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| 摘 要： | 通过使用平面动力系统的分支理论来研究Whitham-Broer-Kaup方程的孤立波和扭子波分支,证明了孤立波和扭波存在性.孤立波和扭子波精确参数表示都能得到.
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| 关 键 词： | 行波解 孤立波 可积系统 浅水波方程 |
| 文章编号： | 1007-855X(2006)04-0121-04 |
| 收稿时间： | 2005-09-04 |
| 修稿时间： | 2005-09-04 |
Bifurcations of Traveling Wave Solutions of Whitham-Broer-Kaup Equations |
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| CAO Jin-long,DENG Xi-jun. Bifurcations of Traveling Wave Solutions of Whitham-Broer-Kaup Equations[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2006, 31(4): 121-124 |
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| Authors: | CAO Jin-long DENG Xi-jun |
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| Affiliation: | Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China |
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| Abstract: | The bifurcations of solitary wave and kink waves for Whitham-Broer-Kaup equations are studied by using the bifurcation theory of planar dynamical systems.The existence of solitary waves and kink waves are proved.Explicit exact parametric representations of solitary waves and kink waves are obtained. |
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| Keywords: | traveling wave solutions solitary wave integrable system shallow water wave equations |
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