ORBITAL STABILITY OF PEAKONS FOR A MODIFIED CAMASSA-HOLM EQUATION WITH HIGHER-ORDER NONLINEARITY

被引：17

作者：

Liu, Xingxing ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 11期

关键词：

Modified Camassa-Holm equation; higher-order nonlinearity; peakons; orbital stability; CUBIC NONLINEARITY; CAUCHY-PROBLEM; BLOW-UP; SOLITONS; WAVES;

D O I：

10.3934/dcds.2018242

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity, which admits the single peakons and multi-peakons. We firstly show the existence of the single peakon and prove two useful conservation laws. Then by constructing certain Lyapunov functionals, we give the proof of stability result of peakons in the energy space H-1(R)-norm.

引用

页码：5505 / 5521

页数：17

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