| BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR GENERALIZED DRINFELD-SOKOLOV EQUATIONS |
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| 引用本文： | 龙瑶,芮伟国,何斌,陈灿. BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR GENERALIZED DRINFELD-SOKOLOV EQUATIONS[J]. 应用数学和力学(英文版), 2006, 27(11): 1549-1555. DOI: 10.1007/s 10483-006-1113-1 |
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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： | Department of Mathematics, Honghe University, Mengzi 661100, Yunnan Province, P. R. China |
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| 基金项目： | 江苏省教育厅科研基金;红河大学校科研和教改项目 |
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| 摘 要： | Ansatz method and the theory of dynamical systems are used to study the traveling wave solutions for the generalized Drinfeld-Sokolov equations. Under two groups of the parametric conditions, more solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions are obtained. Exact explicit parametric representations of these travelling wave solutions are given.
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| 关 键 词： | 孤波 纽结波 周期波 广义Drinfeld-Sokolov方程 |
| 收稿时间： | 2005-10-09 |
| 修稿时间： | 2006-08-09 |
Bifurcations of travelling wave solutions for generalized Drinfeld-Sokolov equations |
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| Yao Long,Wei-guo Rui,Bin He,Can Chen. Bifurcations of travelling wave solutions for generalized Drinfeld-Sokolov equations[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(11): 1549-1555. DOI: 10.1007/s 10483-006-1113-1 |
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| Authors: | Yao Long Wei-guo Rui Bin He Can Chen |
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| Affiliation: | Department of Mathematics, Honghe University, Mengzi 661100, Yunnan Province, P. R. China |
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| Abstract: | Ansatz method and the theory of dynamical systems are used to study the traveling wave solutions for the generalized Drinfeld-Sokolov equations. Under two groups of the parametric conditions, more solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions are obtained. Exact explicit parametric representations of these travelling wave solutions are given. |
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| Keywords: | solitary wave kink wave periodic wave generalized Drinfeld-Sokolov equation |
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