Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions

被引：0

作者：

Mi, Yongsheng ^{[1
]}

Huang, Daiwen ^{[2
]}

机构：

[1] Yangtze Normal Univ, Coll Math & Stat, Chongqing 408100, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2022年 / 198卷 / 01期

关键词：

Two-component Camassa-Holm system; Peakons; Blow-up; SHALLOW-WATER EQUATION; GLOBAL CONSERVATIVE SOLUTIONS; DISSIPATIVE SOLUTIONS; CAUCHY-PROBLEM; WAVE-BREAKING; TRAJECTORIES;

D O I：

10.1007/s00605-021-01635-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several required nonlinear terms is very hard. A complicated problem is that we deal with the equation with higher-order nonlinearity, making the proof of several required nonlinear estimates some what delicate.

引用

页码：153 / 164

页数：12

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