An analytic description is presented for the pulse dynamics in a dispersion managed communications systems. A variational formalism reduces the governing equations to a Hamiltonian system for which a geometrical interpretation of the pulse dynamics is given. The reduced model gives a simple method for calculating the ideal enhanced initial power for a dispersion managed breather. Periodic and quasi-periodic dispersion-managed solitons are observed in the mean-anomalous regime as well as the mean-zero and mean-normal regimes provided the map is sufficiently strong.
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