[en] Full text: In the present paper the chain of kinetic equations for quantum correlation 'functions' (q.c.f) - the analog classical correlation functions (c.c.f) is obtained for description of the dynamics of quantum system particles, interacting through pair potential, based on BBGKY chain of quantum kinetic equations. The method of solution of this chain of equations for q.c.f. in the form of series is suggested. The solution of chain of equations for q.c.f. is reduced to solution of homogeneous and non homogeneous Wigner equations. It is shown, that in 0th term the solution of quantum kinetic equation for one particle q.c.f. reduces to the solution of the Wigner equation - analog of classical Vlasov equation. The solution of the Wigner equation is defined through soliton solution of nonlinear Schroedinger equation. The definition of all other terms of the series, which is solution of quantum kinetic equations for q.c.f., through this soliton solution has been shown. The structure of first two quantum kinetic equations for q.c.f. is coincidence with known kinetic equations for classical correlation functions, used in the plasma physics. This gives possibility to generalization of the classical results to quantum case. (author)