We show that third-order dispersion, filtering, and amplification in a fibe
r Bragg grating dispersion-managed soliton system can lead to the formation
of bound multisoliton solutions. We have found that these solutions appear
due to the presence of nonsymmetrical terms in the transfer function of ch
irped gratings. We present an analytical approximation for the time delay o
f a chirped grating in the vicinity of the central frequency that takes int
o account higher-order dispersion terms. We also study the tolerance of the
se newly found multisoliton solutions to the presence of third-order disper
sion in the fiber link and to random variations in the gratings parameters
due to manufacture or variations in the operating conditions. (C) 2001 Opti
cal Society of America.