摘要
In this paper,we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB)equations which are governed by femtosecond pulse propagation through inhomogeneous doped fibre.The determinant representation of Darboux transformation is used to derive soliton solutions,positon solutions to the IH-MB equations.
In this paper, we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch （IH-MB） equations which are governed by femtosecond pulse propagation through inhomogeneous doped fibre. The determinant representation of Darboux transformation is used to derive soliton solutions, positon solutions to the IH-MB equations.
基金
supported by the National Natural Science Foundation of China(Grant Nos.11201251 and 11271210)
Zhejiang Provincial Natural Science Foundation of China(Grant No.LY12A01007)
the Natural Science Foundation of Ningbo(Grant No.2013A610105)
K.C.Wong Magna Fund in Ningbo University
