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

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.