Propagation of optical solitons in fiber amplifiers is discussed by considering a model that includes loss of fiber, two-photon absorption, third-order dispersion effect. We use the time-dependent Hartree approximation to obtain solutions to a quantitative high-order nonlinear Schrodinger equation (NLS), It describes optical pulses propagating in fibers amplifier, under certain conditions soliton solutions exists, the solution for influence of soliton propagation as well as classical and quantum effects are discussed in detail. Further we find that mean value of the field in fiber is the superposition of a series of classical solitons with corrections.