This paper shows how a second-order moment analysis can be used to derive explicit approximate expressions for the evolution of the root-mean-square (rms) width and chirp parameters of a dispersion-managed soliton within one period of the dispersion map. The energy enhancement factor can also be estimated with a good accuracy.
P.-A. Belanger and C. Pare, "Second-Order Moment Analysis of Dispersion-Managed Solitons," J. Lightwave Technol. 17, 445- (1999)