Numerical Solution of the Cubic Nonlinear Shrodinger's Equation with Repulsive Delta Potential

Abstract

In this work, a powerful iterative method, called Residual power series method (RPSM) is introduced to obtain approximate solutions of the cubic nonlinear Shrodinger's equation (NLSE) with repulsive delta potential subject to certain initial conditions. The consequens specify that this algorithm is active and appropriate and can be enforced to expance of problems. The numerical solutions are matched with the given exact solutions (Figs. 1-3).