Darboux tranformation and solutions of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation

Abstract

In this paper, we construct a Darboux transformation (DT) of the (2+1)-dimensional Schrödinger-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.

12 pages

References in corpus (5)

• Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger Equation
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Cited by in corpus (1)

• The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions