Wave Breaking for the Rotational Camassa–Holm Equation on the Circle-Reference-Cited by-同舟云学术

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Wave Breaking for the Rotational Camassa–Holm Equation on the Circle

Published:2022-02-08 Issue: Volume:2022 Page:1-5
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Chen Rendong¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Abstract

In this paper, we consider the rotational Camassa–Holm equation on the circle. Sufficient conditions on the initial data to guarantee wave breaking are established.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/9603850.pdf

Reference30 articles.

1. On a shallow-water approximation to the Green–Naghdi equations with the Coriolis effect

2. Model Equations and Traveling Wave Solutions for Shallow-Water Waves with the Coriolis Effect

3. A Nonlocal Shallow-Water Model Arising from the Full Water Waves with the Coriolis Effect

4. Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa–Holm equation

5. Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation

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