The micro-Hamiltonian of optical fiber soliton system is obtained, and quantum nonlinear Schrodinger equation (QNSE) with corrections of femto-second soliton propagating in single-mode fiber is derived using the Hamiltonian and dispersion relation. The derived equation is solved with Hartrec approximation. The quantum feature of soliton and classical transition arc studied. Several results are obtained: The mean value of the field in fiber is the average of a set of classical solitons with corrections; as the propagation distance increases, the phase spreads and the soliton becomes self-squeezed, and the result of self-squeezing is relative to higher-terms.