The modified generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Schrödinger type

Abstract

This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type. Firstly, the fractional partial differential equations are transformed into a set of ordinary differential equations using the fractional complex transform. Subsequently, a modified version of the generalized Kudryashov method is employed to solve these equations and the obtained results are utilized to derive the traveling wave solutions for fractional partial differential equations of the Schrödinger type. Finally, the graphs resulting from the traveling wave solution are examined, encompassing the analysis of kink waves and singular kink waves.