Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation

被引：0
|
作者：
Aiyong Chen
Tongjie Deng
Zhijun Qiao
机构：
[1] Hunan First Normal University,Department of Mathematics
[2] Hunan Normal University,School of Mathematics and Statistics
[3] Guilin University of Electronic Technology,School of Mathematics and Computing Science
[4] The University of Texas Rio Grande Valley,School of Mathematical and Statistical Sciences
来源：
Monatshefte für Mathematik | 2022年 / 198卷
关键词：
Camassa-Holm equation; Peakon; Patched peakon; Orbital stability; 35B35; 37K05; 37K45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the orbital stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation. We first verify that the QCHE has global peakon and periodic peakon solutions. Then by the invariants of the equation and controlling the extrema of the solution, we prove that the shapes of the peakons and periodic peakons are stable under small perturbations in the energy space.
引用
收藏
页码：251 / 288
页数：37
相关论文
共 50 条
12345