| 2阶Camassa-Holm方程行波解附近的解的衰减性 |
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| 引用本文： | 丁丹平,王 凯.2阶Camassa-Holm方程行波解附近的解的衰减性[J].江西师范大学学报(自然科学版),2019,0(6):598-604. |
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| 作者姓名： | 丁丹平 王 凯 |
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| 作者单位： | 江苏大学理学院,江苏 镇江 212013 |
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| 摘 要： | 该文研究2阶Camassa-Holm(CH)方程Cauchy问题在行波附近的解的衰减性.采用Y. Martel等在研究临界广义Korteweg-de Vries(KdV)方程的孤立子的稳定性时所用的伪共形变换方法,研究了具有指数衰减初值的解,得到解可被衰减的指数函数控制.
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| 关 键 词： | 2阶Camassa-Holm方程 衰减性 行波解 伪共形变换 |
The Decay Property of Solutions Near the Traveling Waves for the Second-Order Camassa-Holm Equation |
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| DING Danping,WANG Kai.The Decay Property of Solutions Near the Traveling Waves for the Second-Order Camassa-Holm Equation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2019,0(6):598-604. |
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| Authors: | DING Danping WANG Kai |
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| Institution: | Faculty of Science,Jiangsu University,Zhenjiang Jiangshu 212013,China |
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| Abstract: | The decay properties of solutions around the traveling waves for Cauchy problem of the second-order Camassa-Holm(CH)equation is studied.Applying the extended pseudo-conformal transformation methods that appear the relevant works on the generalized Korteweg-de Vries equation(KdV)from Martel and Merle,the solution is controlled by the decaying function with exponential speed, corresponding to the initial data and its second derivative with exponential decay. |
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| Keywords: | second-order Camassa-Holm equation traveling wave pseudo-conformal transformation decay |
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