On the theory of chirped optical solitons in fiber lines with varying dispersion

We study a soliton solution of a path-averaged (in the spectral domain) pro pagation equation governing the transmission of a chirped breather pulse in the fiber lines with dispersion compensation. We demonstrate that the aver aged Hamiltonian model correctly describes features of the chirped soliton observed in numerical simulations and experiments. We show that the Hamilto nian is bounded from below if the average dispersion is anomalous ([d] > 0) ; that, together with the condition H-sol < 0, indicates stability of dispe rsion-managed solitons in this region. (C) 1998 American Institute of Physi cs. [S0021-3640(98)00223-0].