  Chain of kinetic equations for non-equilibrium single, double and s-particle
distribution functions of particles is obtained taking into account nonlin- ear
hydrodynamic fluctuations. Non-equilibrium distribution function of non-linear
hydrodynamic fluctuations satisfies a generalized Fokker-Planck equation. The
method of non-equilibrium statistical operator by Zubarev is applied. A way of
calculating of the structural distribution function of hydrodynamic collective
variables and their hydrodynamic velocities (above Gaussian approximation)
contained in the generalized Fokker-Planck equa- tion for the non-equilibrium
distribution function of hydrodynamic collective variables is proposed.
