Freak waves as a result of modulation instability

Vladimir Zakharov, Andrey Gelash

Research output: Contribution to journalArticlepeer-review

13 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
Pages (from-to)165-175
Number of pages11
JournalProcedia IUTAM
Volume9
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

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

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