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

Ying Zhang and Congming Peng

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

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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https://doi.org/10.1155/2022/6955014

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:6955014

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