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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jun;63(6 Pt 2):066604. Epub 2001 May 18.

Stability of stationary states in the cubic nonlinear Schrödinger equation: applications to the Bose-Einstein condensate.

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  • 1Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.

Abstract

The cubic nonlinear Schrödinger equation is the quasi-one-dimensional limit of the mean-field theory which models dilute gas Bose-Einstein condensates. Stationary solutions of this equation can be characterized as soliton trains. It is demonstrated that for repulsive nonlinearity a soliton train is stable to initial stochastic perturbation, while for attractive nonlinearity its behavior depends on the spacing between individual solitons in the train. Toroidal and harmonic confinement, both of experimental interest for Bose-Einstein condensates, are considered.

PMID:
11415239
DOI:
10.1103/PhysRevE.63.066604
[PubMed]
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