Camassa-Holm方程在孤波附近的解

摘要：

In this paper, solutions of the Camassa-Holm equation near the soliton is decomposed by pseudo-conformal transformation as follow： λ 1/2 （t）u（t,λ（t）y＋x（t））=Q（y）＋ε（t,y）, and the residuals ε is estimated： ｜ε（t,y）｜ Ca 3T e -θ｜y｜ ＋｜λ 1/2 （t）ε 0｜. We prove that the solution of the Cauchy problem and the soliton Q is sufficiently close as y→∞ ,and the approximation degree of the solution and Q is the same as that of initial data and Q if initial value and the soliton are close enough, besides the energy distribution of ε is consistent with the distribution of the soliton Q in H 2 .

作者：

丁丹平 陆伟

Ding Danping;Lu Wei(Faculty of Science,Jiangsu University,Zhenjiang 212013,China)

机构地区：

江苏大学理学院

出处：

《Betway官方客服学报：自然科学版》 CAS 北大核心  2018年第6期1-8,共8页

基金：

国家自然科学基金(11371175)

关键词：

CAMASSA-HOLM方程 伪共性变换 解的分解 孤波解

Camassa-Holm equation pseudo-conformal transformation the decomposition of solution soliton

分类号：

O175.3 [理学—基础数学] 

Camassa-Holm方程在孤波附近的解.pdf