| Boussinesq方程组的行波解研究 |
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| 引用本文： | 李红,孙绍荣,杨得前.Boussinesq方程组的行波解研究[J].上海理工大学学报,2007,29(2):125-128. |
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| 作者姓名： | 李红 孙绍荣 杨得前 |
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| 作者单位： | 上海理工大学,管理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金;上海市重点学科建设项目 |
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| 摘 要： | 运用动力系统定性理论,提出一种分析非线性系统解的方法.并以Boussinesq方程为例,避免了求解的繁琐过程,得到解的几何特性.分析结果表明,在一定参数条件下,Boussinesq方程的相图中存在孤波、扭结波以及周期波.
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| 关 键 词： | 孤立行波解 周期行波解 波的光滑性 Boussinesq方程 |
| 文章编号： | 1007-6735（2007）02-0125-04 |
| 修稿时间： | 2005-10-10 |
Study on bifurcations of traveling wave solutions of Boussinesq equation |
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| LI Hong,SUN Shao-rong,YANG De-qian.Study on bifurcations of traveling wave solutions of Boussinesq equation[J].Journal of University of Shanghai For Science and Technology,2007,29(2):125-128. |
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| Authors: | LI Hong SUN Shao-rong YANG De-qian |
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| Institution: | Business School, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | By using the qualitative theory of dynamical systems,a method is advanced to analyze the solutions of the non-linear systems.Appling this method to Boussinesq equations,the geometry shapes of the equation solutions are obtained,and the fussy process of solving equations is avoided.It is also found that under certain parametrieal conditions,different phase portraits of Boussinesq equations exist,including bifurcations of solitary waves,kink waves and periodic waves. |
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| Keywords: | solitary travelling wave solution periodic travelling wave solution smoothness of waves Boussinesq equations |
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