Sirasrete Phoosree and Settapat Chinviriyasit

DOI: 10.14456/sjst-psu.2021.105

pp. 795 - 801

Abstract

The exact traveling wave solutions of the space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the
space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) water equation are investigated. Transforming the space-time
fractional EMC and the space-time fractional AKNS water equations by the Jumarie's Riemann-Liouville derivative, nonlinear
ordinary differential equations (ODEs) are achived. It is observed that the
G' / G -expansion method is valid and reliable for
solving some nonlinear fractional PDEs. Applying the
G / G' -expansion method, the solutions of EMC and AKNS water
equations are obtained in terms of hyperbolic functions, trigonometric functions and rational functions.

Keywords

• G'/G-expansion method
• fractional partial differential equations
• fractional Estevez-Mansfield-Clarkson equation
• fractional Ablowitz-Kaup-Newell-Segur water equation
• analytic solution