5-WAVE INTERACTION ON THE SURFACE OF DEEP FLUID

被引：69

作者：

DYACHENKO, AI

LVOV, YV

ZAKHAROV, VE

机构：

[1] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721

[2] UNIV ARIZONA,DEPT PHYS,TUCSON,AZ 85721

来源：

PHYSICA D | 1995年 / 87卷 / 1-4期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1016/0167-2789(95)00168-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：233 / 261

页数：29

共 16 条

[1]

CRAIG W, 1994, IN PRESS PHYSICA D

[2] EVOLUTION OF A RANDOM INHOMOGENEOUS FIELD OF NON-LINEAR DEEP-WATER GRAVITY-WAVES [J].