The studied object is the Kerr nonlinear optical systems and optical resonator tworing systems linear coupling with the presence of linear gain and nonlinear loss.

Purpose: Proposing an optical switches model that integrates both optical-magnetic switches and all optical switching in a degenerated two-levels atomic medium; Proposing a model to control the ultraslow group velocity of light soliton and dark soliton in a degenerated two-levels atomic medium.