Modulation instability: The beginning

被引：645

作者：

Zakharov, V. E. ^{[1
,2
]}

Ostrovsky, L. A. ^{[3
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[2] Russian Acad Sci, PN Lebedev Phys Inst, Moscow 117901, Russia

[3] Russian Acad Sci, Inst Appl Phys, Moscow 117901, Russia

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2009年 / 238卷 / 05期

关键词：

Instability; BFL criterion; Nonlinear Schrodinger equation; Envelope waves; Active systems; NONLINEAR MEDIA; WAVES; LIGHT; CONVECTION; PULSES; BEAMS;

D O I：

10.1016/j.physd.2008.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the early history of an important field of "sturm and drang" in modern theory of nonlinear waves. It is demonstrated how scientific demand resulted in independent and almost simultaneous publications by many different authors on modulation instability, a phenomenon resulting in a variety of nonlinear processes such as envelope solitons, envelope shocks, freak waves, etc. Examples from water wave hydrodynamics, electrodynamics, nonlinear optics, and convection theory are given. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：540 / 548

页数：9

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