Modulation instability: The beginning

V. E. Zakharov; L. A. Ostrovsky

doi:10.1016/j.physd.2008.12.002

Modulation instability: The beginning

V. E. Zakharov, L. A. Ostrovsky

Research output: Contribution to journal › Article › peer-review

700 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	540-548
Number of pages	9
Journal	Physica D: Nonlinear Phenomena
Volume	238
Issue number	5
DOIs	https://doi.org/10.1016/j.physd.2008.12.002
State	Published - Mar 15 2009
Externally published	Yes

Keywords

Active systems
BFL criterion
Envelope waves
Instability
Nonlinear Schrodinger equation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2008.12.002

Cite this

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AU - Ostrovsky, L. A.

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N2 - 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.

AB - 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.

KW - Active systems

KW - BFL criterion

KW - Envelope waves

KW - Instability

KW - Nonlinear Schrodinger equation

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JF - Physica D: Nonlinear Phenomena

IS - 5

ER -

Modulation instability: The beginning

Abstract

Keywords

ASJC Scopus subject areas

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