2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80028We 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, LaTeXExactly Solvable and Integrable SystemsSoft Condensed MatterMathematical PhysicsPattern Formation and SolitonsOpticstext