We present a theoretical analysis and experimental results for the most suitable configuration of pump power in a two-stage erbium-dopedfiber amplifier. The amplifiers are arranged in a copropagating pump scheme and use large signal input and modest pump power. Experimental results are in good agreemeni with theoretical predictions. 0 1996 ABSTRACT In this article we present a novel, essentially analytical, method based on a perturbation approach, for the resolution of the direct scattering problem associated with the nonlinear Schrodinger equation, for the initial condition of several first-order solitons reasonably far apart. The method is suitable for the determination not only of the eigenvalues of the scattering problem, but also of the eigenfunctions and so of the complete scattering data. Illustrative application examples are presented. The results obtained, when compared with those found with the he@ of a purely numerical method, show close agreement. 0 I996 John Wiley & Sons. Inc.