We present an analysis of long-distance propagation for short optical solit
ons in a nonlinear optical fiber incorporating the effects of periodic phas
e conjugation and dispersion management. The analysis includes the Raman se
lf-frequency shift, third-order dispersion, and nonlinear dispersion. The p
eriodic conjugation compensates for the group velocity dispersion, self-pha
se modulation and Raman self-frequency shift; we show that stable pulse pro
pagation results from the the balance of the (negative) third-order dispers
ion and the nonlinear dispersion. Judicious choice of the dispersion map ne
gates perturbations due to linear loss; the analysis predicts parameters fo
r the dispersion map that minimize pulse distortion. (C) 2000 Elsevier Scie
nce B.V. All rights reserved.