Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation

Zhang, Ying and Peng, Congming and Mirzazadeh, Mohammad (2022) Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation. Advances in Mathematical Physics, 2022. pp. 1-9. ISSN 1687-9120

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Abstract

In this paper, a family of the weakly dissipative periodic Camassa-Holm type equation cubic and quartic nonlinearities is considered. The precise blow-up scenarios of strong solutions and several conditions on the initial data to guarantee blow-up of the induced solutions are described in detail. Finally, we establish a sufficient condition for global solutions.

Item Type: Article
Subjects: Science Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 09 Feb 2023 06:06
Last Modified: 02 Mar 2024 04:17
URI: http://research.manuscritpub.com/id/eprint/1572

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