Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations
Exactly Solvable and Integrable Systems
2021-02-16 v1 Mathematical Physics
math.MP
Optics
Abstract
In this paper, based on the Hirota and Maxwell-Bloch (H-MB) system and its application in the theory of the femtosecond pulse propagation through an erbium doped fiber, we define two kinds of nonlocal Hirota and Maxwell-Bloch (NH-MB) systems, namely, -symmetric NH-MB system and reverse space-time NH-MB system. Then we construct the Darboux transformations of these NH-MB systems. Meanwhile, we derive the explicit solutions by the Darboux transformations.
Keywords
Cite
@article{arxiv.2102.07151,
title = {Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations},
author = {Ling An and Chuanzhong Li and Lixiang Zhang},
journal= {arXiv preprint arXiv:2102.07151},
year = {2021}
}
Comments
22 Pages, accepted for publication in Studies in Applied Mathematics