Fivewave interaction on the surface of deep fluid
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 fivewave scattering matrix element is obtained using diagram technique on the resonant surface. The stationary solutions of the fivewave kinetic equation are studied as well.
 Publication:

Physica D Nonlinear Phenomena
 Pub Date:
 October 1995
 DOI:
 10.1016/01672789(95)001684
 Bibcode:
 1995PhyD...87..233D