Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 103, pp. 1-14.

Title: Curvature blow-up for the periodic CH-mCH-Novikov equation
       
Authors: Min Zhu. (Nanjing Forestry Univ., Nanjing, China)
         Ying Wang (Univ.of Electronic Science and Tech., Chengdu, China)
         Lei Chen (Nanjing Forestry Univ., Nanjing, China)

Abstract:
We study the CH-mCH-Novikov equation with cubic nonlinearity, which is derived by
an asymptotic method from the classical shallow water theory.
This model can be related to three different important shallow water equations:
CH equation, mCH equation and Novikov equation.
We show the curvature blow-up of the CH-mCH-Novikov equation by the method of
characteristics and conserved quantities to the Riccati-type differential inequality.

Submitted June 19, 2021. Published December 27, 2021.
Math Subject Classifications: 35B44, 35G25.
Key Words: Camassa-Holm equation; modified Camassa-Holm equation;
           asymptotic method; Novikov equation; curvature blow-up.