Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

被引：346

作者：

Baronio, Fabio ^{[1
]}

Conforti, Matteo ^{[2
]}

Degasperis, Antonio ^{[3
]}

Lombardo, Sara ^{[4
]}

Onorato, Miguel ^{[5
,6
]}

Wabnitz, Stefan ^{[1
]}

机构：

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

[2] Univ Lille 1, CNRS, USR 3380, PhLAM IRCICA UMR 8523, F-59655 Villeneuve Dascq, France

[3] Univ Roma La Sapienza, Dipartimento Fis, Ist Nazl Fis Nucl, I-00185 Rome, Italy

[4] Northumbria Univ, Dept Math & Informat Sci, Newcastle Upon Tyne NE2 1XE, Tyne & Wear, England

[5] Univ Turin, Dipartimento Fis, I-10125 Turin, Italy

[6] Ist Nazl Fis Nucl, Sez Torino, I-10125 Turin, Italy

来源：

PHYSICAL REVIEW LETTERS | 2014年 / 113卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

Modulation - Ocean currents;

D O I：

10.1103/PhysRevLett.113.034101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report and discuss analytical solutions of the vector nonlinear Schrodinger equation that describe rogue waves in the defocusing regime. This family of solutions includes bright-dark and dark-dark rogue waves. The link between modulational instability (MI) and rogue waves is displayed by showing that only a peculiar kind of MI, namely baseband MI, can sustain rogue-wave formation. The existence of vector rogue waves in the defocusing regime is expected to be a crucial progress in explaining extreme waves in a variety of physical scenarios described by multicomponent systems, from oceanography to optics and plasma physics.

引用

页数：5

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] Rogue waves and rational solutions of the Hirota equation [J].

Ankiewicz, Adrian ;

Soto-Crespo, J. M. ;

Akhmediev, Nail .

PHYSICAL REVIEW E, 2010, 81 (04)

[3] Observation of Peregrine Solitons in a Multicomponent Plasma with Negative Ions [J].

Bailung, H. ;

Sharma, S. K. ;

Nakamura, Y. .

PHYSICAL REVIEW LETTERS, 2011, 107 (25)

[4] Sasa-Satsuma equation: Soliton on a background and its limiting cases [J].

Bandelow, U. ;

Akhmediev, N. .

PHYSICAL REVIEW E, 2012, 86 (02)

[5] Rogue Waves Emerging from the Resonant Interaction of Three Waves [J].

Baronio, Fabio ;

Conforti, Matteo ;

Degasperis, Antonio ;

Lombardo, Sara .

PHYSICAL REVIEW LETTERS, 2013, 111 (11)

[6] Solutions of the Vector Nonlinear Schrodinger Equations: Evidence for Deterministic Rogue Waves [J].

Baronio, Fabio ;

Degasperis, Antonio ;

Conforti, Matteo ;

Wabnitz, Stefan .

PHYSICAL REVIEW LETTERS, 2012, 109 (04)

[7] Matter rogue waves [J].

Bludov, Yu. V. ;

Konotop, V. V. ;

Akhmediev, N. .

PHYSICAL REVIEW A, 2009, 80 (03)

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

Chabchoub, A. ;

Hoffmann, N. P. ;

Akhmediev, N. .

PHYSICAL REVIEW LETTERS, 2011, 106 (20)

[9] Dark-and bright-rogue-wave solutions for media with long-wave-short-wave resonance [J].

Chen, Shihua ;

Grelu, Philippe ;

Soto-Crespo, J. M. .

PHYSICAL REVIEW E, 2014, 89 (01)

[10] Rogue waves in coupled Hirota systems [J].

Chen, Shihua ;

Song, Lian-Yan .

PHYSICAL REVIEW E, 2013, 87 (03)

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