Volume no :4, Issue no: 2, March 2010

Journal of Mathematical Sciences: Advances and Applications

ANALYTIC SOLUTIONS OF THE DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS USING THE EXTENDED TANH METHOD

Author's: Jian Yang and Shengqiang Tang
Pages: [359] - [369]
Received Date: December 2, 2009
Submitted by:

Abstract

The extended tanh method is used to construct exact periodic and soliton solutions of dimensional nonlinear evolution equations. The compactons solutions, solitary wave solutions, solitary patterns solutions, and periodic wave solutions of the generalized dimensional Boussinesq, breaking soliton, and BKP equations are successfully obtained. These solutions may be important of significance for the explanation of some practical physical problems. It is shown that the extended tanh method provides a powerful mathematical tool for solving many great nonlinear partial differential equations in mathematical physics.

Keywords

the extended tanh method, the generalized dimensional Boussinesq equation, the generalized dimensional breaking soliton equation, the generalized dimensional BKP equation, compacton, solitary wave solution.