Curvature blow-up and peakons for the Camassa-Holm type equation

被引：0

作者：

Zhu, Min ^{[1
]}

Zhang, Zhaoxian ^{[1
]}

机构：

[1] Nanjing Forestry Univ, Dept Math, Nanjing 210037, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 119卷

关键词：

Camassa-Holm equation; Integrable system; Periodic peakon; Strong solution; Blow-up criterion; CONSERVATIVE WEAK SOLUTIONS; SHALLOW-WATER EQUATION; ILL-POSEDNESS; WAVE-BREAKING; GEODESIC-FLOW; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.cnsns.2023.107132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with a periodic Camassa-Holm type equation, which includes several integrable systems as particular cases such as the Camassa-Holm equation, the Novikov equation and the modified Camassa-Holm equation. By applying the method of characteristics, the blow-up criterion and the precise blow-up scenario are established. Then the curvature blow-up result is presented. Finally, periodic peakons are expressed in an explicit function formula.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：18

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