The <i>G'/G<sup>2</sup></i> - Expansion Method for Solving Fractional Burgers - Fisher and Burgers Equations

Abstract

In this paper, we apply <I>G’/G<SUP>2</SUP></I>-Expansion method to discover a strategy for the approximate solution of the generalized fractional Burger-Fisher equation and fractional Burger equation. The given fractional Burger-Fisher and burger equation through substitution are converted into nonlinear ordinary differential equations, in the sense of the Jumarie’s modified Riemann-Liouville fractional derivative. The travelling wave solution is approximated by the <I>G’/G<SUP>2</SUP></I>-Expansion method with unknown parameters that can be expressed by trigonometric functions, exponential functions, hyperbolic functions and rational functions. These results reveal that the proposed method is very effective and simple in performing a solution to the nonlinear fractional partial differential equation.