We present a unique theoretical model to describe the Raman soliton-like pulses in single-mode fibers and consider the existence of the group velocity dispersion (GVD), the stimulated Raman scattering (SRS), the self-phase modulation (SPM), the cross-phase modulation (XPM) and the fiber loss. The experiment made by Gouveianeto et al. is simulated and 84fs Raman soliton-like pulses are obtained in agreement with the experimental results. A distinct image of the evolution of Raman soliton-like pulses is abtained and some new ideas are put forward.