New analytical approach for fractional cubic nonlinear Schrödinger equation via Laplace transform

Abstract

In this paper, a user-friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to obtain approximate solution of a time-space fractional cubic nonlinear Schrödinger equation. The numerical solutions obtained by the HPTM indicate that the technique is easy to implement and computationally very attractive.