Five-wave interaction on the surface of deep fluid

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

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

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
Volume87
Issue number1-4
DOIs
StatePublished - Oct 15 1995

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wave interaction
ideal fluids
fluids
S matrix theory
wave scattering
gravity waves
kinetic equations
diagrams
slopes
interactions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Five-wave interaction on the surface of deep fluid. / Dyachenko, A. I.; Lvov, Y. V.; Zakharov, Vladimir E.

In: Physica D: Nonlinear Phenomena, Vol. 87, No. 1-4, 15.10.1995, p. 233-261.

Research output: Contribution to journalArticle

Dyachenko, A. I. ; Lvov, Y. V. ; Zakharov, Vladimir E. / Five-wave interaction on the surface of deep fluid. In: Physica D: Nonlinear Phenomena. 1995 ; Vol. 87, No. 1-4. pp. 233-261.
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