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

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