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A numerical and symbolical approximation of the Nonlinear Anderson Model

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arxiv 0912.3906 v1 pith:6P3WWUPG submitted 2009-12-19 cond-mat.mes-hall cond-mat.dis-nncond-mat.other

classification cond-mat.mes-hallcond-mat.dis-nncond-mat.other
keywords nonlinearotherandersonapproachapproximationcasesdemonstrateddifferential
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A modified perturbation theory in the strength of the nonlinear term is used to solve the Nonlinear Schroedinger Equation with a random potential. It is demonstrated that in some cases it is more efficient than other methods. Moreover we obtain error estimates. This approach can be useful for the solution of other nonlinear differential equations of physical relevance.

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