Using a coupled-held formalism and a standard perturbation analysis, we ana
lyze a dispersion-managed system under zero-average dispersion conditions.
A nonlinear integral equation in the spectral domain allows the determinati
on of the critical strength parameter of a two-step dispersion map. Higher-
order correction terms confirm. the difference observed in the pulse shapes
in each fiber and comparisons with fully numerical results reveal a good a
greement. The existence of an antisymmetric dispersion-managed soliton is a
lso confirmed. [S1063-651X(99)05109-0].