Solitary wave solutions of time–space nonlinear fractional Schrödinger’s equation: Two analytical approaches

Abstract

This paper obtains analytical solution of nonlinear Schrödinger equation in both time and space fractional terms. Two analytical approaches, Nucci’s reduction method and simplest equation method are utilized to extract analytical solutions specially of soliton kinds. The Kerr law, power law, parabolic law, dual-power law and log law nonlinearities are considered separately.