The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions
Exactly Solvable and Integrable Systems
2014-04-24 v1
Abstract
The (2+1)-dimensional Hirota-Maxwell-Bloch equation (HMBE) is integrable by the Inverse Scattering Method. In this paper, we construct a Darboux transformation (DT) of the (2+1)-dimensional HMBE. Also the one-soliton solution obtained by means of the one-fold DT. For the -soliton solution the general form is presented.
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Cite
@article{arxiv.1404.5613,
title = {The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions},
author = {Kuralay Yesmakhanova and Gaukhar Shaikhova and Kuanysh Zhussupbekov and Ratbay Myrzakulov},
journal= {arXiv preprint arXiv:1404.5613},
year = {2014}
}
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9 pages