The nonlinear pulse propagation in an optical fibers with varying parameters
is investigated. The capture of moving in the frequency domain femtosecond
colored soliton by a dispersive trap formed in an amplifying fiber makes it
possible to accumulate an additional energy and to reduce significantly the
soliton pulse duration. Nonlinear dynamics of the chirped soliton pulses in the
dispersion managed systems is also investigated. The methodology developed does
provide a systematic way to generate infinite ``ocean'' of the chirped soliton
solutions of the nonlinear Schr\"odinger equation (NSE) with varying
coefficients.Comment: 7 pages, 10 figures, RevTe