Two-dimensional discrete solitons in rotating lattices

Jesús Cuevas; Boris A. Malomed; P. G. Kevrekidis

doi:10.1103/PhysRevE.76.046608

Two-dimensional discrete solitons in rotating lattices

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

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-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 language	English
Article number	046608
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	76
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.76.046608
State	Published - 23 Oct 2007

Access to Document

10.1103/PhysRevE.76.046608

Cite this

@article{5db5262a9efd456eb5459e0f06ee90a8,

title = "Two-dimensional discrete solitons in rotating lattices",

abstract = "We introduce a two-dimensional discrete nonlinear Schr{\~A}dinger (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 {\^I}",

author = "Jes{\'u}s Cuevas and Malomed, {Boris A.} and Kevrekidis, {P. G.}",

year = "2007",

month = oct,

day = "23",

doi = "10.1103/PhysRevE.76.046608",

language = "אנגלית",

volume = "76",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Two-dimensional discrete solitons in rotating lattices

AU - Cuevas, Jesús

AU - Malomed, Boris A.

AU - Kevrekidis, P. G.

PY - 2007/10/23

Y1 - 2007/10/23

N2 - 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

AB - 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

UR - http://www.scopus.com/inward/record.url?scp=35448969675&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.76.046608

DO - 10.1103/PhysRevE.76.046608

M3 - מאמר

C2 - 17995128

AN - SCOPUS:35448969675

VL - 76

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

M1 - 046608

ER -

Two-dimensional discrete solitons in rotating lattices

Abstract

Access to Document

Other files and links

Fingerprint

Cite this