Results of the four-wave kinetic integral computation for spectra of special forms. The case of Zakharov spectra

Abstract: With the aim to show explicitly the non stationarity of the Zakharov spectra, obtained analytically as the stationary solution of the four-wave kinetic equation for stochastic nonlinear surface gravity waves[1,2], we have calculated directly the proper kinetic integral by means of two independent algorithms[3,4] both for an isotropic and anisotropic angular distribution of spectra given on the restricted frequency band.