Soliton solutions and their stabilities of three (2+1)-dimensional PT-symmetric nonlinear Schrodinger equations with higher-order diffraction and nonlinearities

The (2 + 1)-dimensional PT-symmetric nonlinear Schrodinger equations with the second-order and fourth-order diffractions and different nonlinear effects are introduced to describe the evolution of optical wave, and the corresponding soliton solutions are analytical presented. From these solutions, we find that the cubic, quintic and septimal nonlinear coefficients are respectively important to the form of soliton in the cubic-quintic, quintic-septimal and cubic-quintic-septimal nonlinear media. The stability of solitons in different nonlinear media with the second-order and fourth-order diffractions and PT-symmetric potentials is studied. The influence of fourth-order diffraction effect on the stability of solitons is discussed.