Sine-cosine Method for a Class of Nonlinear Fourth Order Variant of a generalized Camassa-holm equation
Haixia Zhao
School of Mathematics and Computing Science,Guilin University of Electronic Technology, Guilin, Guangxi, 541004, P. R. China.
Sijia Geng
School of Mathematics and Computing Science,Guilin University of Electronic Technology, Guilin, Guangxi, 541004, P. R. China.
Shengqiang Tang *
School of Mathematics and Computing Science,Guilin University of Electronic Technology, Guilin, Guangxi, 541004, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper we study a class of nonlinear fourth order analogue of a generalized Camassa-Holm equation by using sine-cosine method. The compactons, solitary wave, solitary patterns, periodic wave and solitary patterns solutions of a class of nonlinear fourth order analogue of a generalized Camassa-Holm equation are successfully obtained. It is shown that the sine-cosine provides a powerful mathematical tool for solving a great many nonlinear partial differential equations in mathematical physics.
Keywords: Compactons, Solitary wave solutions, Solitary patterns solutions, Periodic solutions, Sine-Cosine method, Camassa-Holm equation