Anderson localization in the quintic nonlinear Schrödinger equation

Cardoso, Wesley Bueno; Leão, Salviano de Araujo; Avelar, Salviano de Araujo

doi:10.1007/s11082-016-0658-z

Anderson localization in the quintic nonlinear Schrödinger equation

Data

2016

Autores

Cardoso, Wesley Bueno

Leão, Salviano de Araujo

Avelar, Salviano de Araujo

Resumo

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.

Citação

CARDOSO, Wesley B.; LEÃO, Salviano A.; AVELAR, Ardiley T. Anderson localization in the quintic nonlinear Schrödinger equation. Optical and Quantum Electronics, Berlin, v. 48, e388, 2016. DOI: 10.1007/s11082-016-0658-z. Disponível em: https://link.springer.com/article/10.1007/s11082-016-0658-z. Acesso em: 13 set. 2023.