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

被引：2
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.
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页数：30
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