In this paper, we derive n-fold Darboux transformation of the two-component Hirota and the Maxwell-Bloch(TH-MB) equations and its determinant representation. Using Darboux determinant representation, we provide soliton solutions, positon solutions of the TH-MB equations.
@article{arxiv.1310.0617,
title = {Darboux transformation and solutions of the two-component Hirota-Maxwell-Bloch system},
author = {Jieming Yang and Chuanzhong Li and Tiantian Li and Zhaoneng Cheng},
journal= {arXiv preprint arXiv:1310.0617},
year = {2013}
}