Orbital Stability of Peakons and Multi-peakons for a Generalized Cubic-Quintic Camassa-Holm Type Equation

被引：0
|
作者：
Deng, Tongjie [1 ]
Chen, Aiyong [2 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, Key Lab Comp & Stochast Math, Minist Educ, Changsha 410081, Peoples R China
[2] Hunan First Normal Univ, Dept Math, Changsha 410205, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Generalized cubic-quintic Camassa-Holm type equation; Peakons; Multi-peakons; Orbital stability; CAUCHY-PROBLEM; BLOW-UP; WAVE SOLUTIONS; SOLITONS;
D O I：
10.1007/s44198-022-00093-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The peakons and mulit-peakons for a generalized cubic-quintic Camassa-Holm type equation have been obtained by Weng et al. (Monatsh Math, 2022. http://doi. org/10.1007/s00605-022-01699-w) . In this paper, by constructing certain Lyapunov functionals, we prove that the peakons were orbitally stable in the energy space. Furthermore, using energy argument and combining the method of the orbital stability of peakons with monotonicity of the local energy norm, we also prove that the sum of N sufficiently decoupled peakons is orbitally stable in the energy space.
引用
收藏
页码：493 / 530
页数：38
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