Volume no :40, Issue no: 1, July

TRAVELLING WAVE SOLUTIONS FOR TWO COUPLED NONLINEAR EVOLUTION EQUATIONS BY USING MODIFIED DIRECT ALGEBRAIC METHOD

Author's: Guiying Chen
Pages: [55] - [64]
Received Date: June 8, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121672

Abstract

Based on a modified direct algebraic method, the Jacobi elliptic function travelling wave solutions for the coupled system of variant Boussinesq equations and the coupled system of KdV equations are obtained. The present solutions can degenerate to the hyperbolic function solutions or the trigonometric function solutions which have been proposed in the previous works if the modulus m in Jacobi elliptic functions satisfies or Moreover, the method can be applied to a wide class of coupled nonlinear evolution equations.

Keywords

modified direct algebraic method, travelling wave solutions, coupled system of variant Boussinesq equations, coupled system of KdV equations.