Optical solitons of the (1+1)-dimensional higher-order nonlinear Schrodinger equations with PT-symmetric potentials

The (1 + 1)-dimensional higher-order nonlinear Schrodinger equations with PT-symmetric potentials are presented. Soliton solutions form in different nonlinear media under the balance between the second-order diffraction and the fourth-order diffraction, PT-symmetric potentials with higher-order nonlinearities, such as the cubic-quintic nonlinearities, quintic-septimal nonlinearities and cubic-quintic-septimal nonlinearities. The coefficients of the fourth-order diffraction and second-order diffraction determine the propagation constant of soliton, and the coefficients of the gain or loss distribution, the second-order diffraction and the fourth-order diffraction decide the phase of soliton.