Solution of the Nonlinear Schrodinger Equation with Defocusing Strength Nonlinearities Through the Laplace-Adomian Decomposition Method

摘要

In this work we apply the Adomian decomposition method combined with theLaplace transform (LADM) in order to solve the 1-dimensional nonlinearSchrodinger equation whose nonlinear term presents a nonlinear defocusingstrength that varies in the spatial direction. The suggested iterative scheme(LADM) finds the solution without any discretization, linearization orrestrictive assumptions. Finally, three numerical examples are presented todemonstrate the reliability and accuracy of the method.