Modulation instability: The beginning

Vladimir E Zakharov, L. A. Ostrovsky

Research output: Contribution to journalArticle

357 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)540-548
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Volume238
Issue number5
DOIs
StatePublished - Mar 15 2009

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envelopes
modulation
water waves
nonlinear optics
electrodynamics
shock waves
convection
solitary waves
hydrodynamics
histories

Keywords

  • Active systems
  • BFL criterion
  • Envelope waves
  • Instability
  • Nonlinear Schrodinger equation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Modulation instability : The beginning. / Zakharov, Vladimir E; Ostrovsky, L. A.

In: Physica D: Nonlinear Phenomena, Vol. 238, No. 5, 15.03.2009, p. 540-548.

Research output: Contribution to journalArticle

Zakharov, Vladimir E ; Ostrovsky, L. A. / Modulation instability : The beginning. In: Physica D: Nonlinear Phenomena. 2009 ; Vol. 238, No. 5. pp. 540-548.
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