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Preprint 16-2007

A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations

Source file is available as :   Portable Document Format (PDF)

Author(s) : Athanassios Bratsos , Matthias Ehrhardt , Ioannis Th. Famelis

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 16-2007

PACS : 02.70.Bf, 31.15.Fx

Abstract :
We present a new discrete Adomian decomposition method to approximate the theoretical solution of discrete nonlinear Schrödinger equations. The method is examined for plane waves and for single soliton waves in case of continuous, semi-discrete and fully discrete Schrödinger equations. Several illustrative examples and Mathematica program codes are presented.

Keywords : Adomian decomposition method, discrete nonlinear Schrödinger equations, finite difference schemes, solitons, plane waves, Mathematica

Notes :
submitted to: Applied Mathematics and Computation

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