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

•The governing equation is (1+1)D CQNLS with PT-symmetricPT-symmetric potential.•Fundamental solitons are obtained both analytically and numerically.•The linear stability spectrum and nonlinear evolution of solitons are investigated.•The effect of the quintic term to stability is discussed.

In this paper, the existence and stability properties of optical solitons on parity-time (PTPT) 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-symmetricPT-symmetric potential. The solution to this equation is obtained both analytically and numerically by spectral methods. The numerical existence of fundamental solitons on PT-symmetricPT-symmetric lattices is shown for various medium and potential depths.