| 一类非线性偏微分方程行波解的分支 |
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| 引用本文： | 郑洁,唐生强. 一类非线性偏微分方程行波解的分支[J]. 长江大学学报, 2009, 0(1) |
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| 作者姓名： | 郑洁 唐生强 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院; |
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| 基金项目： | 广西壮族自治区教育厅科学基金资助项目(D2008007) |
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| 摘 要： | 利用动力系统理论、分支理论和直接方法研究了一类非线性偏微分方程(NPDEs),证明了此类方程存在光滑孤立波解,扭结波解和不可数无穷多光滑周期波解,求出了该方程用参数表示的显式精确行波解。并在不同的参数条件下,给出了上述光滑孤立波解,扭结波解和不可数无穷多光滑周期波解存在的各类充分条件。
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| 关 键 词： | 孤立波解 周期波解 非线性偏微分方程 |
Bifurcations of Travelling Wave Solutions for A Class of Nonlinear Partial Differential Equations |
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| ZHENG Jie,TANG Sheng-qiang. Bifurcations of Travelling Wave Solutions for A Class of Nonlinear Partial Differential Equations[J]. Journal of Yangtze University, 2009, 0(1) |
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| Authors: | ZHENG Jie TANG Sheng-qiang |
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| Affiliation: | ZHENG Jie,TANG Sheng-qiang(Guilin University of Electronic Technology,Guilin 541004) |
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| Abstract: | The theory of dynamical systems and the theory of bifurcation and the direct method were used to investigate a class of nonlinear partial differential equations(NPDEs).The existence of smooth solitary wave solutions,kink wave solution and uncountably infinite many smooth periodic wave solutions is proved.It obtaines some exact explicit parametric representations of travelling wave solutions of the equations.Under different parametric conditions,various sufficient conditions are given to guarantee the existe... |
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| Keywords: | solitary wave solution periodic wave solution a class of nonlinear partial differential equations |
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