Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

Abstract

In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations. This method is applied to obtain exact solutions for conformable fractional equal width wave equation (EW equation) and conformable fractional modified equal width wave equation (MEW equation). Based on the proposed method, several new exact solutions have been obtained. The proposed method is powerful and easily applicable for solving different types of conformable fractional partial differential equations.

Keywords

• Solitary waves
• The generalized (G'/G)-expansion method
• Conformable fractional derivative