16-06U

A chain of kinetic equations for non-equilibrium one-particle, two-particle and $s$-particle distribution functions of particles which take into account nonlinear hydrodynamic fluctuations is proposed. The method of Zubarev non-equilibrium statistical operator with projection is used. Nonlinear fluctuations are described with non-equilibrium distribution function of collective variables that satisfies generalized Fokker-Planck equation. On the basis of the method of collective variables a scheme of calculation of non-equilibrium structural distribution function of collective variables and their hydrodynamic velocities (above Gaussian approximation) with separated contributions from short and long-range interactions is proposed.