Bratsos, AthanassiosEhrhardt, MatthiasFamelis, Ioannis Th.2022-05-112022-05-112007-04-112197-8085https://depositonce.tu-berlin.de/handle/11303/16885http://dx.doi.org/10.14279/depositonce-15663We 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.en510 MathematikAdomian decomposition methoddiscrete nonlinear Schrödinger equationsfinite difference schemessolitonsplane wavesMathematicaResearch Paper