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.
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页数：18
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