Soliton complexity in the damped-driven nonlinear Schrodinger equation: Stationary to periodic to quasiperiodic complexes

被引：28

作者：

Barashenkov, I. V. ^{[1
,2
,3
]}

Zemlyanaya, E. V. ^{[3
]}

机构：

[1] Univ Cape Town, Dept Math, ZA-7701 Rondebosch, South Africa

[2] Natl Inst Theoret Phys, Stellenbosch, South Africa

[3] Joint Inst Nucl Res, Dubna 141980, Russia

来源：

PHYSICAL REVIEW E | 2011年 / 83卷 / 05期

关键词：

BOUND-STATES; PARAMETRICALLY DRIVEN; LOCALIZED SOLUTIONS; SYSTEMS; WAVES; RESONANCE;

D O I：

10.1103/PhysRevE.83.056610

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：

Stationary and oscillatory bound states, or complexes, of the damped-driven solitons are numerically path-followed in the parameter space. We compile a chart of the two-soliton attractors, complementing the one-soliton attractor chart.

引用

页数：8

共 25 条

[1] Time-periodic solitons in a damped-driven nonlinear Schrodinger equation [J].

Barashenkov, I. V. ;

Zemlyanaya, E. V. ;

van Heerden, T. C. .

PHYSICAL REVIEW E, 2011, 83 (05)

[2] Interactions of parametrically driven dark solitons. II. Neel-Bloch interactions [J].

Barashenkov, I. V. ;

Woodford, S. R. .

PHYSICAL REVIEW E, 2007, 75 (02)

[3] Stable complexes of parametrically driven, damped nonlinear Schrodinger solitons [J].

Barashenkov, IV ;

Zemlyanaya, EV .

PHYSICAL REVIEW LETTERS, 1999, 83 (13) :2568-2571

[4] Traveling solitons in the damped-driven nonlinear Schrodinger equation [J].

Barashenkov, IV ;

Zemlyanaya, EV .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2004, 64 (03) :800-818

[5] Traveling solitons in the parametrically driven nonlinear Schrodinger equation -: art. no. 016603 [J].

Barashenkov, IV ;

Zemlyanaya, EV ;

Bär, M .

PHYSICAL REVIEW E, 2001, 64 (01) :12-016603

[6] STATIONARY SOLITON BOUND-STATES EXISTING IN RESONANCE WITH LINEAR WAVES [J].

BURYAK, AV .

PHYSICAL REVIEW E, 1995, 52 (01) :1156-1163

[7] On the formation of bound states by interacting nonlocal solitary waves [J].

Calvo, DC ;

Akylas, TR .

PHYSICA D, 1997, 101 (3-4) :270-288

[8] Origin of multikinks in dispersive nonlinear systems [J].

Champneys, A ;

Kivshar, YS .

PHYSICAL REVIEW E, 2000, 61 (03) :2551-2554

[9] Thirring solitons in the presence of dispersion [J].

Champneys, AR ;

Malomed, BA ;

Friedman, MJ .

PHYSICAL REVIEW LETTERS, 1998, 80 (19) :4169-4172

[10] Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems [J].

Charkina, Oksana V. ;

Bogdan, Mikhail M. .

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2006, 2

← 1 2 3 →