  The system of nonlinear Langevin equations was obtained by using
Hamiltonian's operator of two coupling quantum oscillators which are
interacting with heat bath. By using the analytical solution of these
equations, the analytical expressions for transport coefficients was found.
Generalized Langevin equations and fluctuation-dissipation relations are
derived for the case of a nonlinear non-Markovian noise. The explicit
expressions for the time-dependent friction and diffusion coefficients are
presented for the case of linear couplings in the coordinate between the
collective two coupled harmonic oscillators and heat bath.
