| Jaulent-Miodek方程的行波解分支 |
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| 引用本文： | 冯大河,李继彬.Jaulent-Miodek方程的行波解分支[J].应用数学和力学,2007,28(8):894-900. |
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| 作者姓名： | 冯大河 李继彬 |
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| 作者单位： | 昆明理工大学 理学院 非线性中心,昆明 650093;2.浙江师范大学 数学系,金华 321004 |
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| 摘 要： | 利用平面动力系统分支理论研究了耦合的Jaulent-Miodek方程的孤立波及周期波的存在性,求出了分支参数集．在给定的参数条件下,得到了该方程光滑孤立波解及周期行波解的所有可能的显式表达式．
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| 关 键 词： | J-M方程 孤立波 周期行波解 |
| 文章编号： | 1000-0887（2007）08-0894-07 |
| 收稿时间： | 2006-01-03 |
| 修稿时间： | 2006-01-03 |
Bifurcations of Travelling Wave Solutions for Jaulent-Miodek Equations |
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| FENG Da-he,LI Ji-bin.Bifurcations of Travelling Wave Solutions for Jaulent-Miodek Equations[J].Applied Mathematics and Mechanics,2007,28(8):894-900. |
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| Authors: | FENG Da-he LI Ji-bin |
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| Institution: | Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China; |
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| Abstract: | By using the theory of bifurcations of planar dynamical systems to the coupled Jaulent-Miodek equations,the existence of smooth solitary travelling wave solutions and uncountably infinite many smooth periodic travelling wave solutions is studied and the bifurcation parametric sets are shown.Under the given parametric conditions,all possible representations of explicit exact solitary wave solutions and periodic wave solutions are obtained. |
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| Keywords: | J-M equations solitary wave periodic travelling wave solution |
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