Physical Science International Journal

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

Arun Kumar *

Department of Mathematics, Government College, Kota (Raj.), India

R. D. Pankaj

Department of Mathematics, J.N.V. University, Jodhpur (Raj.), India

*Author to whom correspondence should be addressed.

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Abstract

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. 

 

Keywords: Laplace−adomian decomposition method, laplace transforms, nonlinear schrödinger equation

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