Traveling Wave Solutions for Space-Time Fractional Nonlinear Evolution Equations

Abstract

Space time fractional nonlinear evolution equations have been widely applied for describing various types of physical mechanism of natural phenomena in mathematical physics and engineering. The proposed generalized exp expansion method along with the Jumarie s modified Riemann-Liouville derivatives is employed to carry out the integration of these equations, particularly space-time fractional Burgers equations, space-time fractional foam drainage equation and time fractional fifth order Sawada Kotera equation. The traveling wave solutions of these equations are appeared in terms of the hyperbolic, trigonometric, exponential and rational functions. It has been shown that the proposed technique is a very effectual and easily applicable in investigation of exact traveling wave solutions to the fractional nonlinear evolution equations arises in mathematical physics and engineering.