On the origin of heavy-tail statistics in equations of the Nonlinear Schrodinger type

被引：29

作者：

Onorato, Miguel ^{[1
,2
]}

Proment, Davide ^{[3
]}

El, Gennady ^{[4
]}

Randoux, Stephane ^{[5
]}

Suret, Pierre ^{[5
]}

机构：

[1] Univ Torino, Dipartimento Fis, I-10125 Turin, Italy

[2] INFN, Sez Torino, I-10125 Turin, Italy

[3] Univ East Anglia, Sch Math, Norwich Res Pk, Norwich NR4 7TJ, Norfolk, England

[4] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[5] Univ Lille, Lab Phys Lasers Atomes & Mol, UMR 8523, CNRS, Villeneuve Dascq, France

来源：

PHYSICS LETTERS A | 2016年 / 380卷 / 39期

关键词：

Rogue waves; Freak waves; Nonlinear Schrodinger; ROGUE WAVES;

D O I：

10.1016/j.physleta.2016.07.048

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the formation of extreme events in incoherent systems described by the Nonlinear Schrodinger type of equations. We consider an exact identity that relates the evolution of the normalized fourth-order moment of the probability density function of the wave envelope to the rate of change of the width of the Fourier spectrum of the wave field. We show that, given an initial condition characterized by some distribution of the wave envelope, an increase of the spectral bandwidth in the focusing/defocusing regime leads to an increase/decrease of the probability of formation of rogue waves. Extensive numerical simulations in 10+1 and 2D+1 are also performed to confirm the results. (C) 2016 Published by Elsevier B.V.

引用

页码：3173 / 3177

页数：5

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