Methods for discrete solitons in nonlinear lattices

被引：50

作者：

Ablowitz, MJ

Musslimani, ZH

Biondini, G

机构：

[1] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA

[2] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

来源：

PHYSICAL REVIEW E | 2002年 / 65卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.65.026602

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：

A method to find discrete solitons in nonlinear lattices is introduced. Using nonlinear optical waveguide arrays as a prototype application. both stationary and traveling-wave solitons are investigated. In the limit of small wave velocity, a fully discrete perturbative analysis yields formulas for the mode shapes and velocity.

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共 27 条

[1] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS AND FOURIER-ANALYSIS [J].

ABLOWITZ, MJ ;

LADIK, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (06) :1011-1018

[2] Discrete diffraction managed spatial solitons [J].

Ablowitz, MJ ;

Musslimani, ZH .

PHYSICAL REVIEW LETTERS, 2001, 87 (25) :254102-254102

[3] Multiscale pulse dynamics in communication systems with strong dispersion management [J].

Ablowitz, MJ ;

Biondini, G .

OPTICS LETTERS, 1998, 23 (21) :1668-1670

[4] STORAGE AND STEERING OF SELF-TRAPPED DISCRETE SOLITONS IN NONLINEAR WAVE-GUIDE ARRAYS [J].

ACEVES, AB ;

DEANGELIS, C ;

TRILLO, S ;

WABNITZ, S .

OPTICS LETTERS, 1994, 19 (05) :332-334

[5] Mobility and reactivity of discrete breathers [J].

Aubry, S ;

Cretegny, T .

PHYSICA D, 1998, 119 (1-2) :34-46

[6] Nonlinear dynamics of the Frenkel-Kontorova model [J].

Braun, OM ;

Kivshar, YS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 306 (1-2) :1-108

[7] LOCALIZED STATES IN DISCRETE NONLINEAR SCHRODINGER-EQUATIONS [J].

CAI, D ;

BISHOP, AR ;

GRONBECHJENSEN, N .

PHYSICAL REVIEW LETTERS, 1994, 72 (05) :591-595

[8] Perturbation theories of a discrete, integrable nonlinear Schrodinger equation [J].

Cai, D ;

Bishop, AR ;

GronbechJensen, N .

PHYSICAL REVIEW E, 1996, 53 (04) :4131-4136

[9] DISCRETE SELF-FOCUSING IN NONLINEAR ARRAYS OF COUPLED WAVE-GUIDES [J].

CHRISTODOULIDES, DN ;

JOSEPH, RI .

OPTICS LETTERS, 1988, 13 (09) :794-796

[10] MOVING LOCALIZED MODES IN NONLINEAR LATTICES [J].

CLAUDE, C ;

KIVSHAR, YS ;

KLUTH, O ;

SPATSCHEK, KH .

PHYSICAL REVIEW B, 1993, 47 (21) :14228-14232