| 二阶Camassa-Holm方程行波解 |
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| 引用本文： | 薛丰刚,丁丹平.二阶Camassa-Holm方程行波解[J].大学数学,2013(6):30-34. |
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| 作者姓名： | 薛丰刚 丁丹平 |
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| 作者单位： | 江苏大学数学系,江苏镇江212013 |
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| 摘 要： | 对二阶Camassa-Holm方程行波解的情况进行了讨论.利用解的唯一性,得到了如下结论:二阶CH方程的行波解唯一存在,但不具有u(x,t)=kem(x-ct)形式.还为二阶CH方程行波解的研究提供了一种新途径和方法.
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| 关 键 词： | 二阶Camassa-Holm方程 行波解 解的唯一性 |
The Travelling Wave Solutions of the Second-order Camassa-Holm Equation |
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| XUE Feng-gang,DING Dan-ping.The Travelling Wave Solutions of the Second-order Camassa-Holm Equation[J].College Mathematics,2013(6):30-34. |
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| Authors: | XUE Feng-gang DING Dan-ping |
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| Institution: | (Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, China) |
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| Abstract: | This paper studies the travelling wave solutions of the second-order Camassa-Holm equation. Take advantage of the uniqueness of solutions, The author got the following conclusion： the travelling wave solutions only exists, but dofft have the form u（x,t） = kem（x-cl） . This paper also provides a new way and method to study the travelling wave solutions of the second order Carnassa-Holm equation. |
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| Keywords: | the second-order Camassa Holm equation the travelling wave solutions the uniqueness of solutions |
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