Curvature blow-up for the periodic CH-mCH-Novikov equation
Texas State University, Department of Mathematics
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.
Camassa-Holm equation, Modified Camassa-Holm equation, Asymptotic method, Novikov equation, Curvature blow-up
Zhu, M., Wang, Y., & Chen, L. (2021). Curvature blow-up for the periodic CH-mCH-Novikov equation. <i>Electronic Journal of Differential Equations, 2021</i>(103), pp. 1-14.