Approximate solution to the envelope of a pulse propagating in a nonlinear optical fibre

An approximate solution of the unperturbed and perturbed nonlinear Schrodinger equation which is associated with an inverse problem is proposed. The solution of this nonlinear Schrodinger equation is the envelope of a pulse propagating through an optical fibre, Legendre-Gauss-Lobatto nodes are used to construct the Nth polynomial interpolation to approximate the solution of the envelope of the propagating pulse. An unperturbed and a perturbed example are given to demonstrate the accuracy of the proposed method