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

Ying Zhang, Congming Peng and Mohammad Mirzazadeh

Advances in Mathematical Physics, 2022, vol. 2022, 1-9

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6955014

DOI: 10.1155/2022/6955014

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