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

[11] Multicomponent integrable wave equations: II. Soliton solutions [J].

Degasperis, A. ;

Lombardo, S. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (38)

[12] Rational solitons of wave resonant-interaction models [J].

Degasperis, Antonio ;

Lombardo, Sara .

PHYSICAL REVIEW E, 2013, 88 (05)

[13]

Didenkulova I, 2008, EXTREME OCEAN WAVES, P83, DOI 10.1007/978-1-4020-8314-3_5

[14] CROSS-PHASE MODULATIONAL INSTABILITY IN HIGH-BIREFRINGENCE FIBERS [J].

DRUMMOND, PD ;

KENNEDY, TAB ;

DUDLEY, JM ;

LEONHARDT, R ;

HARVEY, JD .

OPTICS COMMUNICATIONS, 1990, 78 (02) :137-142

[15] Rogue-wave-like characteristics in femtosecond supercontinuum generation [J].

Erkintalo, M. ;

Genty, G. ;

Dudley, J. M. .

OPTICS LETTERS, 2009, 34 (16) :2468-2470

[16] Even harmonic pulse train generation by cross-polarization-modulation seeded instability in optical fibers [J].

Fatome, Julien ;

El-Mansouri, Ibrahim ;

Blanchet, Jean-Luc ;

Pitois, Stephane ;

Millot, Guy ;

Trillo, Stefano ;

Wabnitz, Stefan .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2013, 30 (01) :99-106

[17] Rogue Wave, Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrodinger Equations [J].

Guo Bo-Ling ;

Ling Li-Ming .

CHINESE PHYSICS LETTERS, 2011, 28 (11)

[18] Sea snapshots will map frequency of freak waves [J].

Hopkin, M .

NATURE, 2004, 430 (6999) :492-492

[19] Under which conditions the Benjamin-Feir instability may spawn an extreme wave event: A fully nonlinear approach [J].

Kharif, C. ;

Touboul, J. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 185 (01) :159-168

[20]

Kharif C, 2009, ADV GEOPHYS ENV MECH, P1, DOI 10.1007/978-3-540-88419-4_1

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