The propagation of dispersion-man aged solitons in optical fibers with randomly perturbed dispersion maps is considered, The interplay between the periodic dispersion management and the random dispersive fluctuations is precisely analyzed, Analytic expressions are derived for the moments of the pulse widths as well as for the probability density functions. It is shown that a strong dispersion management stabilizes the soliton, while a small anomalous residual dispersion is necessary for preventing from a stochastic resonance phenomenon, Analytical results are confirmed by direct numerical simulations. (C) 2002 Elsevier Science B,V. All rights reserved. [References: 37]
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