Five-wave interaction on the surface of deep fluid

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

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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
Publication statusPublished - Oct 15 1995

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ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

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