A novel method that can lead to generation of intense ultrashort optical solitons from weak pulses in the anomalous-dispersion regime of single-mode fibers is proposed. It consists of copropagating a weak pulse with an intense pump pulse in an optical fiber whose minimum-dispersion wavelength is chosen such that it falls between the pump and the signal wavelength. The interplay between Raman amplification and pulse compression induces the week pulse to evolve into several fundamental solitons whose widths are much narrower than those of pump pulse and initial signal pulse. Numerical simulations show that, the higher the pump power is, the narrower and more intense the generated soliton is, and a shorter fiber is used. It is also shown that the method remains applicable even for different initial widths and for a small walk-off between the pump and the signal pulses. Finally, the mechanism for fundamental soliton generation and its application in optical soliton communication system are discussed.