Solutions of the Vector Nonlinear Schrodinger Equations: Evidence for Deterministic Rogue Waves

被引：490

作者：

Baronio, Fabio ^{[1
]}

Degasperis, Antonio ^{[2
]}

Conforti, Matteo ^{[1
]}

Wabnitz, Stefan ^{[1
]}

机构：

[1] Univ Brescia, Dipartimento Ingn Informaz, CNISM, I-25123 Brescia, Italy

[2] Univ Roma La Sapienza, INFN, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 109卷 / 04期

关键词：

SOLITON;

D O I：

10.1103/PhysRevLett.109.044102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct and discuss a semirational, multiparametric vector solution of coupled nonlinear Schrodinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright- and dark-rogue solutions, and novel vector unusual freak waves. The vector rogue waves could be of great interest in a variety of complex systems, from optics and fluid dynamics to Bose-Einstein condensates and finance.

引用

页数：4

共 34 条

[1] Editorial - Introductory remarks on "Discussion & Debate: Rogue Waves - Towards a Unifying Concept?" [J].

Akhmediev, N. ;

Pelinovsky, E. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 185 (01) :1-4

[2] Waves that appear from nowhere and disappear without a trace [J].

Akhmediev, N. ;

Ankiewicz, A. ;

Taki, M. .

PHYSICS LETTERS A, 2009, 373 (06) :675-678

[3] Rogue waves and rational solutions of the nonlinear Schroumldinger equation [J].

Akhmediev, Nail ;

Ankiewicz, Adrian ;

Soto-Crespo, J. M. .

PHYSICAL REVIEW E, 2009, 80 (02)

[4] Vector rogue waves in binary mixtures of Bose-Einstein condensates [J].

Bludov, Yu. V. ;

Konotop, V. V. ;

Akhmediev, N. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 185 (01) :169-180

[5] Matter rogue waves [J].

Bludov, Yu. V. ;

Konotop, V. V. ;

Akhmediev, N. .

PHYSICAL REVIEW A, 2009, 80 (03)

[6] Rogue Wave Observation in a Water Wave Tank [J].

Chabchoub, A. ;

Hoffmann, N. P. ;

Akhmediev, N. .

PHYSICAL REVIEW LETTERS, 2011, 106 (20)

[7] Coupled photorefractive spatial-soliton pairs [J].

Chen, ZG ;

Segev, M ;

Coskun, TH ;

Christodoulides, DN ;

Kivshar, YS .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (11) :3066-3077

[8] Observation of incoherently coupled photorefractive spatial soliton pairs [J].

Chen, ZG ;

Segev, M ;

Coskun, TH ;

Christodoulides, DN .

OPTICS LETTERS, 1996, 21 (18) :1436-1438

[9] Inelastic scattering and interactions of three-wave parametric solitons [J].

Conforti, Matteo ;

Baronio, Fabio ;

Degasperis, Antonio ;

Wabnitz, Stefan .

PHYSICAL REVIEW E, 2006, 74 (06)

[10] Multicomponent integrable wave equations: I. Darboux-dressing transformation [J].

Degasperis, A. ;

Lombardo, S. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (05) :961-977

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