Darboux Transformation and Solutions of the Two-Component Hirota—Maxwell—Bloch System

We derive the n-fold Darboux transformation of the two-component Hirota and Maxwell-Bloch (TH-MB) equations and its determinant representation. Using Darboux determinant representation, we provide soliton solutions, positon solutions of the TH-MB equations.

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Bibliographic Details
Published inChinese physics letters Vol. 30; no. 10; pp. 104201 - 1-104201-5
Main Authors Yang, Jie-Ming, Li, Chuan-Zhong, Li, Tian-Tian, Cheng, Zhao-Neng
Format Journal Article
LanguageEnglish
Published 01.10.2013
Subjects
Determinants
Mathematical analysis
Representations
Solitons
Transformations
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Summary:We derive the n-fold Darboux transformation of the two-component Hirota and Maxwell-Bloch (TH-MB) equations and its determinant representation. Using Darboux determinant representation, we provide soliton solutions, positon solutions of the TH-MB equations.
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ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/30/10/104201