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VOL. 21 | 2020 Soliton Surface for the (1+1)-Dimensional Schrödinger-Maxwell-Bloch Equation
Kuralay Yesmakhanova, Zhanar Umurzakhova, Gaukhar Shaikhova

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Abstract

In this paper, we study the (1+1)-dimensional Schrödinger-Maxwell-Bloch equation (NLS-MBE) which is integrable by the Inverse Scattering Method. Its Lax pair is presented. We apply methods of the theory of integrable systems to the geometry of surfaces immersed in Euclidean spaces. Using Sym-Tafel formula we construct the first and second fundamental forms, the Gaussian (total) curvature, mean curvature and Christoffel symbols for the NLS-MBE.

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Published: 1 January 2020
First available in Project Euclid: 14 October 2020

Digital Object Identifier: 10.7546/giq-21-2020-320-327

Rights: Copyright © 2020 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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