| 含非线性色散项的Kadomtsev-Petrishvili方程的破缺行波解 |
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| 引用本文： | 高正晖,杨柳.含非线性色散项的Kadomtsev-Petrishvili方程的破缺行波解[J].中山大学学报(自然科学版),2011,50(1). |
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| 作者姓名： | 高正晖 杨柳 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,湖南,衡阳,421008 |
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| 基金项目： | 湖南省自然科学基金资助项目，湖南省教育厅科研计划资助项目 |
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| 摘 要： | 应用平面动力系统分支理论的方法,在参数平面上给出了含非线性色散项的Kadomtsev-Petrishvili方程的行波解的分支相图,从而揭示了其行波解与参数的依赖关系,并获得了该方程的破缺行波解的参数表示.
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| 关 键 词： | 非线性色散Kadomtsev-Petrishvili方程 环状孤波解 破缺行波解 分支相图 |
Breaking Traveling Wave Solutions of Kadomtsev-Petrishvili Equation with Nonlinear Dispersive Terms |
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| GAO Zhenghui,YANG Liu.Breaking Traveling Wave Solutions of Kadomtsev-Petrishvili Equation with Nonlinear Dispersive Terms[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2011,50(1). |
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| Authors: | GAO Zhenghui YANG Liu |
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| Institution: | GAO Zhenghui,YANG Liu(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China) |
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| Abstract: | Bifurcation phase portraits of traveling wave solution for Kadomtsev-Petrishvili equation with nonlinear dispersive terms are given by using bifurcation theory of dynamical systems.Parametric representations of breaking traveling wave solutions of Kadomtsev-Petrishvili equation with nonlinear dispersive terms are obtained. |
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| Keywords: | Kadomtsev-Petrishvili equation nonlinear dispersive loop soliton solution breaking traveling wave solution bifurcation phase portrait |
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