[1]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,(06):598-604.[doi:10.16357/j.cnki.issn1000-5862.2019.06.08]
 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 Science Edition,2019,(06):598-604.[doi:10.16357/j.cnki.issn1000-5862.2019.06.08]
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2阶Camassa-Holm方程行波解附近的解的衰减性()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年06期
页码:
598-604
栏目:
数学与应用数学
出版日期:
2019-12-10

文章信息/Info

Title:
The Decay Property of Solutions Near the Traveling Waves for the Second-Order Camassa-Holm Equation
文章编号:
1000-5862(2019)06-0598-07
作者:
丁丹平王 凯
江苏大学理学院,江苏 镇江 212013
Author(s):
DING DanpingWANG Kai
Faculty of Science,Jiangsu University,Zhenjiang Jiangshu 212013,China
关键词:
2阶Camassa-Holm方程 衰减性 行波解 伪共形变换
Keywords:
second-order Camassa-Holm equation traveling wave pseudo-conformal transformation decay
分类号:
O 175.29
DOI:
10.16357/j.cnki.issn1000-5862.2019.06.08
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-12-28
基金项目:国家自然科学基金(11371175)资助项目.
作者简介:丁丹平(1965-),男,江苏丹阳人,教授,博士,主要从事高阶Camassa-Holm方程研究.E-mail:ddp@ujs.edu.cn
更新日期/Last Update: 2019-12-10