2014/04/22 by Yesmakhanova, Kuralay, Shaikhova, Gaukhar, Zhussupbekov, Kuanysh +1
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences
paper · doi:10.48550/arxiv.1404.5613
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 n-soliton solution the general form is presented.