Darboux tranformation and solutions of the (2+1)-dimensional Schr\"odinger-Maxwell-Bloch equation

In this paper, we construct a Darboux transformation (DT) of the (2+1)-dimensional Schr"odinger-Maxwell-Bloch equation (SMBE) which is integrable by the Inverse Scattering Method. Using this DT, the one-soliton solution and periodic solution are obtained from the “seed” solutions.