Abstract
In this article, we consider a (2+1)-dimensional Schrödinger-Maxwell-Bloch equation (SMBE). The (2+1)-dimensional SMBE is integrable by the inverse scattering method. We constructed Darboux transformation (DT) of this equation. Also, we derive determinant representation of one-fold, two-fold and n-fold DT of (2+1)-dimensional SMBE. As an application of these conversion of the (2+1)-dimensional SMBE, soliton solutions will get from trivial “seed” solutions.
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Yesmahanova, K.R., Shaikhova, G.N., Bekova, G.T., Myrzakulova, Z.R. (2016). Determinant Reprentation of Dardoux Transformation for the (2+1)-Dimensional Schrödinger-Maxwell-Bloch Equation. In: Anastassiou, G., Duman, O. (eds) Intelligent Mathematics II: Applied Mathematics and Approximation Theory. Advances in Intelligent Systems and Computing, vol 441. Springer, Cham. https://doi.org/10.1007/978-3-319-30322-2_13
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DOI: https://doi.org/10.1007/978-3-319-30322-2_13
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