In this paper, we treat optical soliton propagation with quantum method. We derive the quantum nonlinear Schrodinger equation (QNSE) with corrections by using the micro model of a Kerr-like medium and dispersion relation. We also find the perturbation solution of thisequation and study the influence of corrections on squeezing. The result indicates that thethird-order dispersion has no influence on squeezing and the term in ?/(?τ)(φ+φ2) makes theamount of squeezing decrease.