Affiliation:
1. Department of Mathematics, Zunyi Normal University, Zunyi 563006, China
Abstract
In this paper, a generalized Camassa–Holm equation, which may be used to describe wave motion in the shallow water, is considered. Some dynamic properties are studied for the model. Firstly, a new blow-up criterion for the equation is established. Then, analytical solutions are presented for the first time by using a new method. Finally, we investigate the persistence property for strong solutions. The results we obtain complement earlier results in this direction.
Funder
Guizhou Province Science and Technology Basic Project
Department of Guizhou Province Education project
Guizhou Province Science and Technology Plan Project
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)