Special Session 51: Integrable Aspects and Asymptotics of Nonlinear Evolution Equations

The higher-order $\mu$-Camassa-Holm equations
Changzheng Qu
Ningbo University
Peoples Rep of China
Co-Author(s):    Ying Fu, Hao Wang, Kexin Yan
Abstract:
It is well-known that the Camassa-Holm (CH)-type equations admit peaked solitons. In this talk, we are mainly concerned with the nonlocal $\mu$-CH-type equations. First, we review the known results and properties of $\mu$-CH and modified CH equation. Second, we introduce the higher-order $\mu$-CH equations. Third, stability and instability of periodic peaked solitons to the higher-order CH equations will be studied.