Proceedings of the 2017 International Conference on Advanced Materials Science and Civil Engineering (AMSCE 2017)

N-fold Darboux Transformation for a Generalized Variable-Coefficient Coupled Hirota-Maxwell-Bloch System

Authors
Yushan Xue, Jing Chen
Corresponding Author
Yushan Xue
Available Online April 2017.
DOI
https://doi.org/10.2991/amsce-17.2017.5How to use a DOI?
Keywords
dispersive fiber; lax pair; n-fold darboux transformation
Abstract
A generalized variable-coefficient coupled Hirota-Maxwell-Bloch system is investigated, which can describe the ultrashort optical pulse propagation in a variablecoefficient nonlinear, dispersive fiber doped with two-level resonant atoms. Based on the obtained Lax pair, N-fold Darboux transformation (DT) of the system is constructed. One-, two- and three-soliton solutions are derived by virtue of the obtained DT, and compiled into the determinant forms
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Proceedings
Part of series
Advances in Engineering Research
Publication Date
April 2017
ISBN
978-94-6252-337-1
ISSN
2352-5401
DOI
https://doi.org/10.2991/amsce-17.2017.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Yushan Xue
AU  - Jing Chen
PY  - 2017/04
DA  - 2017/04
TI  - N-fold Darboux Transformation for a Generalized Variable-Coefficient Coupled Hirota-Maxwell-Bloch System
PB  - Atlantis Press
SP  - 17
EP  - 19
SN  - 2352-5401
UR  - https://doi.org/10.2991/amsce-17.2017.5
DO  - https://doi.org/10.2991/amsce-17.2017.5
ID  - Xue2017/04
ER  -