Freak waves as a result of modulation instability

Vladimir Zakharov, Andrey Gelash

Research output: Contribution to journalArticle

11 Scopus citations

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)
Pages (from-to)165-175
Number of pages11
JournalProcedia IUTAM
Volume9
DOIs
StatePublished - Nov 18 2013

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Keywords

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

ASJC Scopus subject areas

  • Mechanical Engineering

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