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We present exact N-soliton optical pulses riding on a continuous-wave (c.w.)beam that propagate through and interact with a two-level active opticalmedium. Their representation is derived via an appropriate generalization ofthe inverse scattering transform for the corresponding Maxwell-Bloch equations.We describe the single-soliton solutions in detail and classify them intoseveral distinct families. In addition to the analogues of traveling-wavesoliton pulses that arise in the absence of a c.w. beam, we obtainbreather-like structures, periodic pulse-trains and rogue-wave-type (i.e.,rational) pulses, whose existence is directly due to the presence of the c.w.beam. These soliton solutions are the analogues for Maxwell-Bloch systems ofthe four classical solution types of the focusing nonlinear Schrodingerequation with non-zero background, although the physical behavior of thecorresponding solutions is quite different.

Resonant optical pulses on a continuous wave background in two-level active media