Orbital stability of the sum of N peakons for the generalized higher-order Camassa-Holm equation

被引：2
|
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, Hunan, Peoples R China
[2] Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Generalized higher-order Camassa-Holm equation; Peakons; Multi-peakons; Orbital stability; SHALLOW-WATER EQUATION; BREAKING; WAVES;
D O I：
10.1007/s00033-022-01796-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The orbital stability of peakons for the generalized higher-order Camassa-Holm equation has been established by Qin et al. (Z Angew Math Phys 73:96, 2022. https://doi.org/10.1007/s00033-022-01739-3) . In this paper, using energy argument and combining the method of the orbital stability of a single peakon with monotonicity of the local energy norm, we prove that the sum of N sufficiently decoupled peakons is orbitally stable in the energy space.
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页数：28
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