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Optical and Quantum Electronics

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01-08-2016

Anderson localization in the quintic nonlinear Schrödinger equation

Authors: Wesley B. Cardoso, Salviano A. Leão, Ardiley T. Avelar

Published in: Optical and Quantum Electronics | Issue 8/2016

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Abstract

In the present paper we consider the quintic defocusing nonlinear Schrödinger equation in presence of a disordered random potential and we analyze the effects of the quintic nonlinearity on the Anderson localization of the solution. The main result shows that Anderson localization requires a cutoff on the value of the parameter that controls the quintic nonlinearity, with the cutoff depending on the amplitude of the random potential.

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Title: Anderson localization in the quintic nonlinear Schrödinger equation
Authors: Wesley B. Cardoso
Salviano A. Leão
Ardiley T. Avelar
Publication date: 01-08-2016
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 8/2016
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-016-0658-z

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