ANALYTIC STUDY ON OPTICAL SOLITONS IN A KERR-LAW MEDIUM WITH AN IMPRINTED PARITY-TIME-SYMMETRIC MIXED LINEAR-NONLINEAR LATTICE

The existence of different types of optical solitons in Kerr-law media with parity-time (PT)-symmetric mixed linear-nonlinear optical lattices has been investigated by using the inverse engineering method. Four special PT-symmetric potentials are considered, namely i) PT-symmetric hyperbolic sine potentials for both linear and nonlinear lattices, ii) PT-symmetric hyperbolic tangent potentials for both linear and nonlinear lattices, iii) PT-symmetric hyperbolic tangent potential for linear lattice and PT-symmetric hyperbolic sine potential for nonlinear lattice, and iv) PT-symmetric hyperbolic sine potential for linear lattice and PT-symmetric hyperbolic tangent potential for nonlinear lattice. The obtained results show that analytical bright and dark optical solitons can be found for all four physical models.