The guiding-center “breathing” soliton theory in dispersion managed soliton system is analysis and the stability of DMS transmission is proved. The condition of stability of DMS transmission also is given. Then,the characteristic of DMS parameters transmission evolving in dispersion map,which including amplitude,width,chirp and energy of pulse,are studied. With help of the numerical methods,it not only can be validated the results of guiding-center “breathing” soliton transmission theory,but also proved that robustness of DMS in changefully averaged dispersion value line.