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arxiv: 1402.4669 · v1 · pith:ILXZQO3Mnew · submitted 2014-02-19 · 🌊 nlin.SI

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

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keywords darbouxdimensionalequationodinger-maxwell-blochschrsolutionsolutionsconstruct
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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 is integrable by the Inverse Scattering Method. Using this DT, the one-soliton solution and periodic solution are obtained from the "seed" solutions.

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