Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation  

作　　者：LI ChuanZhong HE JingSong 

机构地区：[1]Department of Mathematics,Ningbo University

出　　处：《Science China(Physics,Mechanics & Astronomy)》2014年第5期898-907,共10页中国科学：物理学、力学、天文学（英文版）

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

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.

关 键 词：inhomogeneous Hirota and Maxwell-Bloch equations Darboux transformation soliton solution positon solution 

分 类 号：O175[理学—数学]