Curvature blow-up for the periodic CH-mCH-Novikov equation
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Date
2021-12-27
Authors
Zhu, Min
Wang, Ying
Chen, Lei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Camassa-Holm equation, Modified Camassa-Holm equation, Asymptotic method, Novikov equation, Curvature blow-up
Citation
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.
Rights
Attribution 4.0 International