Properties of new soliton solutions on the non-vanishing background for the reduced Maxwell-Bloch system in nonlinear optics

Under investigation in this paper is the reduced Maxwell-Bloch system, which describes the propagation of the intense ultra-short optical pulses through a two-level dielectric medium. Through Darboux transformation, some new soliton solutions are constructed on the nonvanishing background, including the one-peak dark solitons, two-peak dark solitons, periodic solutions and some two-soliton solutions. Furthermore, by virtue of some figures, the dynamic properties of those solitons are discussed. The results may be useful in the study of the ultrashort pulses propagation in such situations as the model of the two-level dielectric media.