Stability of traveling wave solutions for the second-order Camassa-Holm equation

被引：0

作者：

Ding, Danping ^{[1
]}

Li, Yun ^{[1
]}

机构：

[1] Jiangsu Univ, Sch Math Sci, Xuefu Rd, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 202卷 / 04期

关键词：

Second-order Camassa-Holm equation; Travelling wave solution; Orbital stability; Pseudo-conformal transformation; Smoothing; ORBITAL STABILITY; DIFFEOMORPHISM GROUP; PEAKONS; SOLITONS;

D O I：

10.1007/s00605-023-01828-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the stability of traveling wave solutions of the second-order Camassa-Holm equation. Applying the pseudo-conformal transformation, the solutions near the travelling wave solutions of the second-order C-H equation are decomposed: lambda(1/2) (t) u (t, y + x (t)) = eta (t, y) + Q (y) .The uniform boundedness of the difference term is proved by smoothing technique, and the orbital stability of the traveling wave solution of the second-order C-H equation is obtained.

引用

页码：713 / 740

页数：28

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