| 引用本文： |
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陈爱永,洪银芳,赵大虎,唐生强.一个非线性Drinfeld-Sokolov系统的行波解分支[J].广西科学,2007,14(3):217-220. [点击复制]
- CHEN Ai-yong,HONG Yin-fang,ZHAO Da-hu,TANG Sheng-qiang.Bifurcations of Travelling Wave Solutions in a Nonlinear Drinfeld-Sokolov System[J].Guangxi Sciences,2007,14(3):217-220. [点击复制]
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| 摘要: |
| 用动力系统分支理论研究一个非线性Drinfeld-Sokolov系统,证明该系统存在扭子波、反扭子波、孤立波和无穷多光滑周期波解,获得在不同参数条件下上述解存在的充分条件及其精确表达式. |
| 关键词: 孤立波 扭子波 周期波 |
| DOI： |
| 投稿时间：2007-04-25 |
| 基金项目:广西自然科学基金项目(0575092);新世纪广西高等教育教学改革工程重点立项项目资助 |
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| Bifurcations of Travelling Wave Solutions in a Nonlinear Drinfeld-Sokolov System |
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CHEN Ai-yong1, HONG Yin-fang1, ZHAO Da-hu2, TANG Sheng-qiang1
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| (1.College of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China;2.College of Mathematics and Informational Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| The bifurcation theory of planar dynamical systems is used to analyze a nonlinear Drinfeld-Sokolov system.The existence of kink wave, anti-kink wave solutions, solitary wave solutions and periodic wave solutions is proved.The sufficient conditions and exact explicit parametric expression of above solutions are obtained under different parametric conditions. |
| Key words: solitary wave kink wave periodic wave |
