Invariant traveling wave solutions of parity-time-symmetric mixed linear-nonlinear optical lattices with three types of nonlinearity

Abstract

This paper focuses on the complex nonlinear Schrödinger equation for the propagation of optical pulses in the nonlinear media with imprinted parity-time symmetric mixed linear-nonlinear optical lattices. Three types of nonlinearity that are Kerr law, parabolic law and power law are taken into account. We obtained symmetries of this considered physical model by using the Lie classical method, and then derived the similarity reductions and exact solutions.