Volume no :7, Issue no: 1, January (2011)

Journal of Mathematical Sciences: Advances and Applications

EXACT EXPLICIT TRAVELLING WAVE SOLUTION FOR THE GENERALIZED DIMENSIONAL BREAKING SOLITON EQUATION

Author's: Shu Xia, Shengqiang Tang and Xinqian Lin
Pages: [57] - [68]
Received Date: December 3, 2010
Submitted by:

Abstract

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

Keywords

solitary patterns solution, compacton, sine-cosine method, extended tanh method, generalized dimensional breaking soliton equation.