Solitary Wave Solutions of Schrödinger Equation by Laplace−Adomian Decomposition Method

In this paper we combined the Laplace Transform with Adomian Decomposition Method (ADM) and presented an approach for solving non linear coupled and non coupled Schrödinger equation, with initial conditions. It is shown that the method does not need linearization, weak nonlinearity assumptions or perturbation theory to obtain analytical solutions.