Freak waves as a result of modulation instability

Vladimir E Zakharov, Andrey Gelash

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

Abstract

We describe a general N-solitonic solution of the focusing NLSE in the presence of a condensate by using the dressing method. We find a broad class of superregular solitonic solutions which are small perturbations at certain a moment of time. They describe the nonlinear stage of the modulation instability of the condensate and play an important role in the theory of freak waves.

Original languageEnglish (US)
Title of host publicationProcedia IUTAM
Pages165-175
Number of pages11
Volume9
DOIs
StatePublished - 2013

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Modulation

Keywords

  • dressing method
  • freak waves
  • modulational instability
  • nonlinear Schrödinger equation
  • soliton

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Freak waves as a result of modulation instability. / Zakharov, Vladimir E; Gelash, Andrey.

Procedia IUTAM. Vol. 9 2013. p. 165-175.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zakharov, Vladimir E ; Gelash, Andrey. / Freak waves as a result of modulation instability. Procedia IUTAM. Vol. 9 2013. pp. 165-175
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