Applying variational methods, we derive a reduced system of equations from
the nonlocal equation that governs the average dynamics in dispersion-manag
ed systems. These equations, which apply for any type of return-to-zero pul
se, describe the stroboscopic evolution of the pulse parameters and bypass
the fast variations inside each dispersion map. In the limit of large map s
trength we integrate the equations to obtain explicitly formulas for the pa
rameters of a chirped return-to-zero pulse as well as the amount of post-tr
ansmission compensation needed to restore the initial pulse width. (C) 2001
Optical Society of America.