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A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations

Bratsos, Athanassios; Ehrhardt, Matthias; Famelis, Ioannis Th.

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

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.