Guiding-center soliton in fibers with periodically varying dispersion.

The guiding-center (or the averaged) amplitude υ(T, Z) of the optical soliton is derived in the presence of periodic amplification and periodic variation of the fiber dispersion. It is also shown that υ(T, Z) permits a solitary-wave solution to all orders of Za/Z0. This result further confirms the stability of optical solitons in fibers under periodic perturbations.