(3+1)-dimensional optical soliton solutions of nonlinear Schrödinger equations with high-order diffraction/dispersion, parity-time symmetric potentials and different order nonlinearities

Abstract

When the evolution of optical wave is discussed in three nonlinear media including third, third–fifth and third–fifth–seventh order nonlinearities, second-order diffraction/dispersion (SD) and fourth-order diffraction/dispersion (FD) and parity-time symmetric potentials are considered. By the delicate balance among these effects, solitons are taken shape in these nonlinear media. These SD, FD and gain/loss distribution jointly influence the soliton phase and the propagation constant.