Rogue waves, self-similar statistics, and self-similar intermediate asymptotics

被引：1

作者：

Liang, Chunhao ^{[1
,2
,3
]}

Ponomarenko, Sergey A. ^{[3
,4
]}

Wang, Fei ^{[5
]}

Cai, Yangjian ^{[5
]}

机构：

[1] Shandong Normal Univ, Sch Phys & Elect, Shandong Prov Engn & Tech Ctr Light Manipulat, Jinan 250014, Shandong, Peoples R China

[2] Shandong Normal Univ, Sch Phys & Elect, Shandong Prov Key Lab Opt & Photon Device, Jinan 250014, Shandong, Peoples R China

[3] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3J 2X4, Canada

[4] Dalhousie Univ, Dept Phys & Atmospher Sci, Halifax, NS B3H 4R2, Canada

[5] Soochow Univ, Sch Phys Sci & Technol, Suzhou 215006, Peoples R China

来源：

PHYSICAL REVIEW A | 2019年 / 100卷 / 06期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

NONLINEAR SCHRODINGER-EQUATION; PHOTONIC CRYSTAL FIBER; MODULATION INSTABILITY; INTEGRABLE TURBULENCE; PROPAGATION; DISPERSION;

D O I：

10.1103/PhysRevA.100.063804

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We advance a statistical theory of extreme event emergence in random nonlinear wave systems with self-similar intermediate asymptotics. We show, within the framework of a generic (1 + 1)D nonlinear Schrodinger equation with linear gain, that extreme events and even rogue waves in weakly nonlinear, statistical open systems emerge as parabolic-shape giant fluctuations in the self-similar asymptotic propagation regime. We demonstrate analytically the self-similar structure of the non-Gaussian statistics of emergent rogue waves, and we validate our results with numerical simulations. Our results shed new light on the generic statistical features of extreme events in nonlinear open systems with self-similar intermediate asymptotics.

引用

页数：7

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