Discrete breather and its stability in a general discrete nonlinear Schrodinger equation with disorder

被引:13
作者
Bai, Xiao-Dong [1 ]
Xue, Ju-Kui [1 ]
机构
[1] NW Normal Univ, Coll Phys & Elect Engn, Key Lab Atom & Mol Phys & Funct Mat Gansu Prov, Lanzhou 730070, Peoples R China
来源
PHYSICAL REVIEW E | 2012年 / 86卷 / 06期
基金
中国国家自然科学基金;
关键词
SOLITONS; LATTICES; MODES;
D O I
10.1103/PhysRevE.86.066605
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
By considering a general discrete nonlinear Schrodinger model with arbitrary values of nonlinearity power and disorder, the existence and stability of a discrete breather (DB) in a general nonlinear lattice are discussed. It is found that nonlinearity and disorder play important roles in determining the existence and stability of the DB. Nonlinearity (expressed by the interparticle interaction) and disorder can enhance the stability of the DB. Remarkably, we find that the DB is most stable when the nonlinearity power is equal to a critical value. The effects of nonlinearity, nonlinearity power, and disorder on the stability of the DB are strongly coupled. DOI: 10.1103/PhysRevE.86.066605
引用
收藏
页数:6
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共 38 条
[1]   Nonlinear Schrodinger equation for a superfluid Fermi gas in the BCS-BEC crossover [J].
Adhikari, S. K. .
PHYSICAL REVIEW A, 2008, 77 (04)
[2]   ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1958, 109 (05) :1492-1505
[3]   Breathers in nonlinear lattices: Existence, linear stability and quantization [J].
Aubry, S .
PHYSICA D-NONLINEAR PHENOMENA, 1997, 103 (1-4) :201-250
[4]   Discrete Breathers in One-Dimensional Diatomic Granular Crystals [J].
Boechler, N. ;
Theocharis, G. ;
Job, S. ;
Kevrekidis, P. G. ;
Porter, Mason A. ;
Daraio, C. .
PHYSICAL REVIEW LETTERS, 2010, 104 (24)
[5]   Nonlinear physics - Fresh breather [J].
Campbell, DK .
NATURE, 2004, 432 (7016) :455-456
[6]   Multistable solitons in the cubic-quintic discrete nonlinear Schrodinger equation [J].
Carretero-Gonzalez, R. ;
Talley, J. D. ;
Chong, C. ;
Malomed, B. A. .
PHYSICA D-NONLINEAR PHENOMENA, 2006, 216 (01) :77-89
[7]   Phase coherence and superfluid-insulator transition in a disordered Bose-Einstein condensate [J].
Chen, Yong P. ;
Hitchcock, J. ;
Dries, D. ;
Junker, M. ;
Welford, C. ;
Hulet, R. G. .
PHYSICAL REVIEW A, 2008, 77 (03)
[8]   Quantum signatures of breather-breather interactions [J].
Dorignac, J ;
Eilbeck, JC ;
Salerno, M ;
Scott, AC .
PHYSICAL REVIEW LETTERS, 2004, 93 (02) :025504-1
[9]   Bright Bose-Einstein gap solitons of atoms with repulsive interaction [J].
Eiermann, B ;
Anker, T ;
Albiez, M ;
Taglieber, M ;
Treutlein, P ;
Marzlin, KP ;
Oberthaler, MK .
PHYSICAL REVIEW LETTERS, 2004, 92 (23) :230401-1
[10]   Discrete spatial optical solitons in waveguide arrays [J].
Eisenberg, HS ;
Silberberg, Y ;
Morandotti, R ;
Boyd, AR ;
Aitchison, JS .
PHYSICAL REVIEW LETTERS, 1998, 81 (16) :3383-3386