Based on the small-amplitude approximation on a CW pedestal, the role of self-steepening effect in nonlinear dynamics and transmmision of soliton in normal and anomalous dispersion regions is investigated. The results show that, by taking into account the loss and gain, as well as the self-induced Raman effect, there exist both bright and dark small-amplitude solitons in both normal and anomalous dispersion regions. Especially, there exist the types of solitons opposite to the ordinary types of bright or dark solitons in both regions.