Soliton solution of fractional-order nonlinear differential equations based on the exp-function method

Abstract

The exp-function method and fractional complex transform are applied for exact solutions of time fractional modified nonlinear Kawahara equation and fractional advection-diffusion-reaction equation with the modified Riemann-Liouville derivative. We see that this method is computationally applicable and effective. (C) 2016 Elsevier GmbH. All rights reserved.