The analysis of the exact solutions of the space fractional coupled KD equations

Abstract

In this study, we seek exact solutions of the space fractional coupled Konopelchenko-Dubrovsky (KD) equations by using generalized Kudryashov method. The space fractional coupled KD equations can be converted into nonlinear ordinary differantial equation by transformation. Consequently,generalized Kudryashov method has been used to obtain exact solutions of the space fractional coupled KD equations. From hence, we find some new hyperbolic function solutions. Also, we emphasize that this method is a generalized form of classical Kudryashov Method.