Freak waves as nonlinear stage of Stokes wave modulation instability

V. E. Zakharov, A. I. Dyachenko, A. O. Prokofiev

Research output: Contribution to journalArticlepeer-review

168 Scopus citations


Numerical simulation of evolution of nonlinear gravity waves is presented. Simulation is done using two-dimensional code, based on conformal mapping of the fluid to the lower half-plane. We have considered two problems: (i) modulation instability of wave train and (ii) evolution of NLSE solitons with different steepness of carrier wave. In both cases we have observed formation of freak waves.

Original languageEnglish (US)
Pages (from-to)677-692
Number of pages16
JournalEuropean Journal of Mechanics, B/Fluids
Issue number5
StatePublished - Sep 2006


  • Freak wave
  • Free surface
  • Modulation instability

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)


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