Modulation instability of Stokes wave → freak wave

  • A. I. Dyachenko
  • V. E. Zakharov
Plasma, Gases

DOI: 10.1134/1.1931010

Cite this article as:
Dyachenko, A.I. & Zakharov, V.E. Jetp Lett. (2005) 81: 255. doi:10.1134/1.1931010


Formation of waves of large amplitude (freak waves, killer waves) at the surface of the ocean is studied numerically. We have observed that freak waves have the same ratio of the wave height to the wave length as limiting Stokes waves. When a freak wave reaches this limiting state, it breaks. The physical mechanism of freak wave formation is discussed.

PACS numbers

02.60.Cb 47.15.Hg 92.10.−c 

Copyright information

© Pleiades Publishing, Inc. 2005

Authors and Affiliations

  • A. I. Dyachenko
    • 1
  • V. E. Zakharov
    • 1
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Department of MathematicsUniversity of ArizonaTucsonUSA