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.
Solitonization of the Anderson localization
Claudio Conti
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.File in questo prodotto:
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