Two-dimensional solitons in cubic-saturable media withPT-symmetric lattices

Abstract

Abstract In this paper, we discuss the existence of lattice solitons supported by cubic-saturable nonlinearity in the framework of nonlinear Schrodinger (NLS) equation with external potentials such as parity-time-symmetric lattices with and without defects by using the pseudo-spectral renormalization method. Linear and nonlinear stability properties of the lattice solitons centered on the maximum of the PT -symmetric potential are investigated in detail.