On different kinds of solutions to simplified modified form of a Camassa-Holm equation

Hami Gündoğdu, Ömer Faruk Gözükızıl
2019 Journal of Applied Mathematics and Computational Mechanics  
In this research, our purpose is to investigate some types of solutions to a simplified modified form of the Camassa-Holm equation. The Jacobi elliptic function expansion method is applied to this equation. Then, a lot of travelling wave solutions are obtained. The derived solutions are in the form of Jacobi elliptic functions, hyperbolic functions, and trigonometric functions. Graphics of solutions are drawn in order to determine the types of the solutions. Furthermore, different kinds of
more » ... erent kinds of solutions such as the singular kink wave solution, the kink wave solution, and the periodic solution are achieved. MSC 2010: 35C07, 35C09
doi:10.17512/jamcm.2019.2.03 fatcat:xuskldremzatvfda6heaahfgqi