Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation

被引：0

作者：

Luo, Ting ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Zhejiang, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

orbital stability; modified Camassa-Holm-Novikov equation; shallow water equation; multi-peakons; CAUCHY-PROBLEM; PEAKONS;

D O I：

10.1515/anona-2023-0124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory. This wave configuration accommodates the ordered trains of the modified Camassa-Holm-Novikov-peaked solitary solution. With the application of conservation laws and the monotonicity property of the localized energy functionals, we prove the orbital stability of this wave profile in the H-1(R) energy space according to the modulation argument.

引用

页数：30

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