Orbital stability of periodic peakons for a new higher-order μ-Camassa-Holm equation

被引：1
|
作者：
Chong, Gezi [1 ,2 ]
Fu, Ying [1 ,2 ]
机构：
[1] Northwest Univ, Ctr Nonlinear Studies, Xian 710127, Peoples R China
[2] Northwest Univ, Sch Math, Xian 710127, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 03期
关键词：
SHALLOW-WATER EQUATION; BLOW-UP SOLUTIONS; INTEGRABLE EQUATION; WELL-POSEDNESS; CAUCHY-PROBLEM; WAVE BREAKING; GEODESIC-FLOW; SOLITONS; GEOMETRY;
D O I：
10.1063/5.0132297
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The consideration here is a higher-order mu-Camassa-Holm equation, which is a higher-order extension of the mu-Camassa-Holm equation and retains some properties of the mu-Camassa-Holm equation and the modified mu-Camassa-Holm equation. By utilizing the inequalities with the maximum and minimum of solutions related to the first three conservation laws, we establish that the periodic peakons of this equation are orbitally stable under small perturbations in the energy space.
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页数：14
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