Nonlinear equations in open quantum systems

This report presents the kinetic equation for the mean values obtained by the method of time-dependent projective operators. This equation is applied to the Kerr model. For this system, a closed system of differential equations for the averages from the creation and annihilation operators and their squares is obtained. 2 regimes of the system are considered: without external field and with small external field. For the 1st regime, the obtained results are compared with analytical results.