Optical soliton control in inhomogeneous nonlinear media with the parity-time symmetric potentials

In this paper, in the framework of (1+1)-dimensional inhomogeneous nonlinear Schrödinger (NLS) equation, the relevant problem of optical soliton control in inhomogeneous Kerr-type nonlinear media with PT-symmetric external potentials is investigated numerically. Particularly, the stable propagation of one, two, and three solitons in this optical setting is displayed. Moreover, the controllable parameter for optical soliton control is found. Finally, the stability of soliton control with respect to random perturbations is also studied.