Five-wave interaction on the surface of deep fluid

A. I. Dyachenko, Y. V. Lvov, V. E. Zakharov

Research output: Contribution to journalArticlepeer-review

68 Scopus citations


This article deals with the studying of the interaction of gravity waves propagating on the surface of an ideal fluid of infinite depth. The system of the corresponding equation is proven to be integrable up to the fourth order in power of steepness of the waves, but to be nonintegrable in the next, fifth, order. An exact formula for the five-wave scattering matrix element is obtained using diagram technique on the resonant surface. The stationary solutions of the five-wave kinetic equation are studied as well.

Original languageEnglish (US)
Pages (from-to)233-261
Number of pages29
JournalPhysica D: Nonlinear Phenomena
Issue number1-4
StatePublished - Oct 15 1995

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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