| 广义Drinfeld-Sokolov方程的行波解的分支 |
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| 引用本文： | 龙瑶,芮伟国,何斌,陈灿. 广义Drinfeld-Sokolov方程的行波解的分支[J]. 应用数学和力学, 2006, 27(11): 1357-1362 |
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| 作者姓名： | 龙瑶 芮伟国 何斌 陈灿 |
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| 作者单位： | 红河学院 数学系,云南 蒙自 661100 |
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| 摘 要： | 用Ansatz方法和动力系统理论研究了广义Drinfeld-Sokolov方程的行波解．在给定的两组参数条件下,得到了广义Drinfeld-Sokolov方程更多的孤立波解,扭子和反扭子波解及周期波解,并给出这些行波解精确的参数表示．
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| 关 键 词： | 孤立波 扭子波 周期波 广义Drinfeld-Sokolov方程 |
| 文章编号： | 1000-0887（2006）11-1357-06 |
| 收稿时间： | 2005-10-09 |
| 修稿时间： | 2006-08-06 |
Bifurcations of Travelling Wave Solutions for the Generalized Drinfeld-Sokolov Equations |
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| LONG Yao,RUI Wei-guo,HE Bin,CHEN Can. Bifurcations of Travelling Wave Solutions for the Generalized Drinfeld-Sokolov Equations[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1357-1362 |
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| Authors: | LONG Yao RUI Wei-guo HE Bin CHEN Can |
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| Affiliation: | Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, P. R. China |
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| Abstract: | Ansatz method and the theory of dynamical systems are used to the study of the traveling wave solutions for the generalized Drinfeld-Sokolov equations. Under two grouos of the parametricconditions, more solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions were obtained. Exact explicit parametric representations of these travelling wave solutions are given. |
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| Keywords: | solitary wave ldnk wave periodic wave generalized Drinfeld-Sokolov equation |
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