Affiliation:
1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
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.
Funder
Natural Science Foundation of Gansu Province
Subject
Applied Mathematics,General Physics and Astronomy
Cited by
1 articles.
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