Min Zhu, Ying Wang, Lei Chen
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.
DOI: https://doi.org/10.58997/ejde.2021.103
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Min Zhu Department of Mathematics Nanjing Forestry University Nanjing, 210037, China email: zhumin@njfu.edu.cn |
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| Ying Wang Department of Mathematics University of Electronic Science and Technology of China Chengdu 611731, China email: nadine_1979@163.com | |
| Lei Chen Department of Mathematics Nanjing Forestry University Nanjing, 210037, China email: chenlei@njfu.edu.cn |
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