Vortex Solutions of the Defocusing Discrete Nonlinear Schrodinger Equation

被引：0

作者：

Cuevas, J. ^{[1
]}

James, G. ^{[2
]}

Kevrekidis, P. G. ^{[3
]}

Law, K. J. H. ^{[3
]}

机构：

[1] Univ Seville, Escuela Univ Politecn, Dept Fis Aplicada 1, Grp Fis Lineal, C Virgen Africa 7, Seville 41011, Spain

[2] CNRS, Inst Natl Polytech Grenoble, Lab Jean Kuntzmam UMR 5224, F-38041 Grenoble, France

[3] Univ Massachusetts, Dept Math & Statist, Amherst, MA 01003 USA

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷

关键词：

DNLS equation; Vortices; Existence; Stability; GROSS-PITAEVSKII EQUATION; BOSE-EINSTEIN CONDENSATE; VORTICES; LATTICES; BREATHERS; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing DNLS equation, a model of interest both to atomic physics and to nonlinear optics. Our considerations are chiefly based on initializing such vortex configurations at the anti-continuum limit of zero coupling between adjacent sites, and continuing them to finite values of the coupling. Discrete defocusing vortices become unstable past a critical coupling strength and, subsequently feature a cascade of alternating stabilization-destabilization windows for any finite lattice.

引用

页码：135 / +

页数：2

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