Analytical solution for Non-linear Schr{ o}dinger equation by using Boubaker polynomials expansion scheme

This paper proposes an approximation the analyticalsolution to the nonlinear Schrödinger equation in a pulsed stationary regime. The implemented protocol is based on the Boubakerpolynomials expansion scheme. The results are presented and compared with some solutions proposed later to confirm the good accuracy of the protocols used.