Abstract

Optical pulse dynamics in dispersion-managed fiber lines is studied using a combination of a Lagrangian approach and Hamiltonian averaging. By making self-similar transform in the Lagrangian and assuming in the leading order a bell-shaped pulse dynamics, we reduce the original system to a nonautonomous Hamiltonian system with two variables. Subsequent Hamiltonian averaging gives a function of two variables whose extrema correspond to periodic pulses. To describe a fine structure of the pulse tails, we further develop Hamiltonian averaging using the complete set of Gauss-Hermite functions and also applying averaging in the spectral domain. @S1063-651X~99!50504-7#

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