| Camassa-Holm-KP方程的行波解分支 |
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| 引用本文： | 张克磊,唐生强,王兆娟.Camassa-Holm-KP方程的行波解分支[J].四川师范大学学报(自然科学版),2010,33(1). |
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| 作者姓名： | 张克磊 唐生强 王兆娟 |
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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,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金，广西教育厅科学基金，广西研究生教育创新计划 |
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| 摘 要： | 运用平面动力系统理论、分支理论和直接方法,研究了Camassa-Holm-KP方程,证明该方程存在光滑孤立波解和无穷多光滑周期波解.并在不同的参数条件下,给出了光滑孤立波解和光滑周期波解存在的各类充分条件,并求出了上述一些显式精确行波解.
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| 关 键 词： | 光滑孤立波 光滑周期波 Camassa-Holm-KP方程 |
Bifurcations of Travelling Wave Solutions for the Camassa-Holm-KP Equation |
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| ZHANG Ke-lei,TANG Sheng-qiang,WANG Zhao-juan.Bifurcations of Travelling Wave Solutions for the Camassa-Holm-KP Equation[J].Journal of Sichuan Normal University(Natural Science),2010,33(1). |
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| Authors: | ZHANG Ke-lei TANG Sheng-qiang WANG Zhao-juan |
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| Institution: | ZHANG Ke-lei,TANG Sheng-qiang,WANG Zhao-juan (College of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,Guangxi) |
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| Abstract: | By applying the theories of dynamical systems,bifurcation and direct method,the Camassa-Holm-KP equation is studied.The existence of smooth solitary wave solution and smooth periodic wave solution is proved.Under different parametric conditions,various sufficient conditions to guarantee the existence of solitary wave solutions and periodic wave solutions are given.Some exact explicit formulas of the above solutions are listed. |
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| Keywords: | smooth solitary wave smooth periodic wave Camassa-Holm-KP equation |
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