We have studied the propagation behavior of optical solitons in a dist
ributed gain medium with finite bandwidth medium, such as in Erbium-Do
ped Fiber Amplifiers (EDFAs) which are widely used as fiber amplifiers
. Our analysis is based on the Fourier Series Analysis Technique (FSAT
) which is a novel method recently proposed by the second and third au
thors to solve the nonlinear Schrodinger equation; and our results are
in complete agreement with those produced by other methods.