Журнал прикладной и вычислительной математики

The Improved exp(−ϕ(ξ)) Fractional Expansion Method and its Application to Nonlinear Fractional Sharma-Tasso-Olver Equation

Abstract

Alhakim LA and Alaaeddin Amin Moussa

In this paper, we propose a new method called exp(−�?�?�?�(ξ)) fractional expansion method to seek traveling wave solutions of the nonlinear fractional Sharma-Tasso-Olver equation. The result reveals that the method together with the new fractional ordinary differential equation is a very in�?¯�?¬�?�??uential and effective tool for solving nonlinear fractional partial differential equations in mathematical physics and engineering. The obtained solutions have been articulated by the hyperbolic functions, trigonometric functions and rational functions with arbitrary constants.