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
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页码:135 / +
页数:2
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