Method of Bogolyubov's kinetic equation in nonlinear statistical hydrodynamics

Bogolyubov's functional method of constructing the kinetic equation of gases is used to derive nonlinear hydrodynamic equations of the nonequilibrium thermodynamics of condensed systems. Equations obtained by Mori's method of projection operators are the point of departure. The transport coefficients in the equations are constructed from nonsecular fluxes which do not contain conserved quantities. The resulting hydrodynamic equation is not in general, dependent on a small value of the wave numbers. In the case of small wave numbers, the first terms of the expansion with respect to them of the nonlinear contributions to the hydrodynamic equation are constructed.