The problem of spectral description of the model opla nonlinear capillary waves on the fluid surface is discussed.Usually, three-wave nonlinear interactions are considered as a major factor determined by the energy spectrum of these waves in the kinetic wave turbulent regime.We demonstrate that four-wave interactions should be taken into account.
In this case, there are two possible scenarios for the transfer of energy over the wave spectrum: kinetic and dynamic.The first hdw1620dnpk is described by the averaged stochastic interaction of waves using the kinetic equation, while the second is described by dynamic equations written for discrete modes.In this article, we compare the time scales, spectral shapes, and other properties of both energy cascades, allowing them to be identified in an experiment.