Blow-up criteria and periodic peakons for a two-component extension of the μ-version modified Camassa-Holm equation

被引：2
|
作者：
Li, Zhigang [1 ]
Zhao, Zhonglong [2 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2020年 / 72卷 / 03期
基金：
山西省青年科学基金;
关键词：
modified mu-Camassa-Holm equation; bi-Hamiltonian structures; blow-up; peakons; SHALLOW-WATER EQUATION; LIE SYMMETRY ANALYSIS; BACKLUND-TRANSFORMATIONS; WELL-POSEDNESS; WAVE SOLUTIONS; BREAKING; EXISTENCE;
D O I：
10.1088/1572-9494/ab690b
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Some two-component extensions of the modified mu-Camassa-Holm equation are proposed. We show that these systems admit Lax pairs and bi-Hamiltonian structures. Furthermore, we consider the blow-up phenomena for one of these extensions (2 mu mCH), and the periodic peakons of this system are derived.
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页数：8
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