Compression of higher order optical solitons in fibers with anomalous
dispersion decreasing along their length is investigated. We demonstra
te high-quality compression of pulses with initial soliton order 1 < N
< 2 achieving compression factors over 50, using a fiber length equal
to approximately one soliton period, This pulse compression technique
has significant advantages over the widely reported adiabatic and sol
iton-effect compression techniques.