Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation
arXiv:1210.2501
Abstract
In this paper, we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB) equations which is governed by femtosecond pulse propagation through inhomogeneous doped fibre. The determinant representation of Darboux transformation is used to derive soliton solutions, positon solutions of the IH-MB equations.
accepted by SCIENCE CHINA Physics, Mechanics & Astronomy. arXiv admin note: substantial text overlap with arXiv:1205.1191