Volume no :3, Issue no: 2, May (2010)

EXACT TRAVELLING WAVE SOLUTIONS FOR THE (N+1)-DIMENSIONAL GENERALIZED CAMASSA-HOLM EQUATION

Author's: Jian Yang, Ruizhi Shen and Shengqiang Tang
Pages: [249] - [263]
Received Date: May 15, 2010
Submitted by:

Abstract

By using the sine-cosine method and the extended tanh method, we study the (N+1)-dimensional generalized Camassa-Holm equation. It is shown that this class gives compactons solutions, solitary wave solutions, and periodic wave solutions. It is also found that the qualitative change in the physical structure of solutions depends mainly on the exponent of the wave function u(x, t), positive or negative, and on the coefficient of as well.

Keywords

solitary wave solution, periodic wave solutions, compactons, the (N+1)-dimensional generalized Camassa-Holm equation.