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

共 50 条

[1] Asymptotic behavior of solutions of defocusing integrable discrete nonlinear Schrodinger equation
Yamane, Hideshi
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (05) : 1077 - 1083
[2] A lower bound for the power of periodic solutions of the defocusing discrete nonlinear Schrodinger equation
Cuevas, J.
Eilbeck, J.
Karachalios, N.
[J]. DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2008, 5 (01) : 69 - 85
[3] Vortex pairs in the discrete nonlinear Schrodinger equation
Bramburger, J. J.
Cuevas-Maraver, J.
Kevrekidis, P. G.
[J]. NONLINEARITY, 2020, 33 (05) : 2159 - 2180
[4] Nonvanishing at spatial extremity solutions of the defocusing nonlinear Schrodinger equation
Gialelis, Nikolaos
Stratis, Ioannis G.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (15) : 4939 - 4956
[5] Asymptotic soliton train solutions of the defocusing nonlinear Schrodinger equation
Kamchatnov, AM
Kraenkel, RA
Umarov, BA
[J]. PHYSICAL REVIEW E, 2002, 66 (03):
[6] On the Asymptotic Stability of -Soliton Solutions of the Defocusing Nonlinear Schrodinger Equation
Cuccagna, Scipio
Jenkins, Robert
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 343 (03) : 921 - 969
[7] A note on slowly decaying solutions of the defocusing nonlinear Schrodinger equation
Barran, S
Kovalyov, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (34): : 6121 - 6125
[8] Exponentially small asymptotics of solutions to the defocusing nonlinear Schrodinger equation
Vartanian, AH
[J]. APPLIED MATHEMATICS LETTERS, 2003, 16 (03) : 425 - 434
[9] Mixed soliton solutions of the defocusing nonlocal nonlinear Schrodinger equation
Xu, Tao
Lan, Sha
Li, Min
Li, Ling-Ling
Zhang, Guo-Wei
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2019, 390 : 47 - 61
[10] Solutions of the Discrete Nonlinear Schrodinger Equation with a Trap
Likhachev, V. N.
Vinogradov, G. A.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2019, 201 (03) : 1771 - 1778

← 1 2 3 4 5 →