Two-dimensional discrete solitons in rotating lattices

Jesús Cuevas*, Boris A. Malomed, P. G. Kevrekidis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a two-dimensional discrete nonlinear SchrÃdinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bose-Einstein condensate stirred by a rotating strong optical lattice, or light propagation in a twisted bundle of nonlinear fibers. Two types of localized states are constructed: off-axis fundamental solitons (FSs), placed at distance R from the rotation pivot, and on-axis (R=0) vortex solitons (VSs), with vorticities S=1 and 2. At a fixed value of rotation frequency Î

Original languageEnglish
Article number046608
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume76
Issue number4
DOIs
StatePublished - 23 Oct 2007

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