Analysis of Hamiltonian Dynamics of Dispersion-Managed Coupled Breathers in Optical Transmission System

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We theoretically derive the Hamiltonian dynamics of dispersion-managed coupled breathers in optical transmission system as a result of phases-plane dynamics of the system. We analytically show that the contribution of a perturbation term caused by a noise sourced by amplifiers in optical fiber can influence the amplitudes and chirps of the pulses dynamics. We also find that the coupled breathers dynamics depent on a certain relationship of the chirps and amplitudes. The results of the perturbed coupled NLS are then reduced to that in the unperturbed system and the single NLS case.
27 pages, 8 figures, LaTeX

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