We study the affinities between the shape of the bright soliton of the one-dimensional nonlinear Schroedinger equation and the shape of the disorder-induced localization with a Gaussian random potential. For the most localized state, we derive expressions for the nonlinear eigenvalue and for the localization length. We investigate the stability and superlocalizations. DOI: 10.1103/PhysRevA.86.061801
Solitonization of the Anderson localization / Conti, Claudio. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - STAMPA. - 86:6(2012), p. 061801. [10.1103/physreva.86.061801]
Solitonization of the Anderson localization
CONTI, CLAUDIO
2012
Abstract
We study the affinities between the shape of the bright soliton of the one-dimensional nonlinear Schroedinger equation and the shape of the disorder-induced localization with a Gaussian random potential. For the most localized state, we derive expressions for the nonlinear eigenvalue and for the localization length. We investigate the stability and superlocalizations. DOI: 10.1103/PhysRevA.86.061801File allegati a questo prodotto
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