Statistics of freak waves in numerical tank

A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov

Research output: Contribution to journalArticlepeer-review


Presented are the results of experiments on calculation of Probability Distribution Functions for elevations of waters waves in numerical tank. Statistics of waves of anomalous amplitude, or freak-waves were compared both for nonlinear and linear models. Obviously, linear model demonstrates the exact Rayleigh distribution of surface elevations while PDFs for nonlinear equation have tails (for large elevations) similar to Rayleigh distribution, but with larger σ.

Original languageEnglish (US)
Pages (from-to)888-892
Number of pages5
JournalLobachevskii Journal of Mathematics
Issue number5
StatePublished - Sep 1 2017


  • Hamiltonian formalism
  • Nonlinear water waves
  • Zakharov equation
  • freak waves
  • modulational instability

ASJC Scopus subject areas

  • Mathematics(all)


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