On the singularity formation for a class of periodic higher-order Camassa-Holm equations
On the singularity formation for a class of periodic higher-order Camassa-Holm equations
复制标题
一类周期高阶Camassa-Holm方程的奇点形成
DOI：
10.1016/j.jde.2020.05.040
复制
发表时间：
2020
影响因子：
2.4
通讯作者：
Min Zhu
中科院分区：
文献类型：
--
作者：
Ying Wang;Min Zhu
The primary goal of this paper is to understand how higher-order nonlinearities affect the dispersive dynamics. As a prototype, we study a class of higher-order Camassa–Holm equations which can be viewed as a generalization of the Camassa–Holm equation. We develop a delicate analysis to investigate the formation of singularities and provide sufficient conditions on initial data that lead to the finite time blow-up of the second-order derivative of the solution.
