Solitons of (1+1)D cubic-quintic nonlinear Schrödinger equation with PT-symmetric potentials

In this paper, the existence and stability properties of optical solitons on parity-time (PT) symmetric lattices are investigated. The governing equation for the physical model is the (1+1)D cubic-quintic nonlinear Schrödinger equation (CQNLS) with a PT-symmetric potential. The solution to this equation is obtained both analytically and numerically by spectral methods. The numerical existence of fundamental solitons on PT-symmetric lattices is shown for various medium and potential depths.