Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects

Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects

We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and deri...

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Main Authors: Rui Guo, Hui-Qin Hao, Xiao-Song Gu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/185654
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spelling doaj-645ea6c8734647509c49990be5bf9ab32020-11-25T00:51:34ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/185654185654Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order EffectsRui Guo0Hui-Qin Hao1Xiao-Song Gu2School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaPetroChina Kunlun Gas Co., Ltd., Beijing 100101, ChinaWe mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and derive the Akhmediev breathers, Ma-breathers, bound solitons, and two-breather solutions for this system. Considering the influences of higher-order effects, propagation properties of those solitons are discussed.http://dx.doi.org/10.1155/2014/185654
collection DOAJ
language English
format Article
sources DOAJ
author Rui Guo
Hui-Qin Hao
Xiao-Song Gu
spellingShingle Rui Guo
Hui-Qin Hao
Xiao-Song Gu
Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects
Abstract and Applied Analysis
author_facet Rui Guo
Hui-Qin Hao
Xiao-Song Gu
author_sort Rui Guo
title Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects
title_short Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects
title_full Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects
title_fullStr Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects
title_full_unstemmed Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects
title_sort modulation instability, breathers, and bound solitons in an erbium-doped fiber system with higher-order effects
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and derive the Akhmediev breathers, Ma-breathers, bound solitons, and two-breather solutions for this system. Considering the influences of higher-order effects, propagation properties of those solitons are discussed.
url http://dx.doi.org/10.1155/2014/185654
work_keys_str_mv AT ruiguo modulationinstabilitybreathersandboundsolitonsinanerbiumdopedfibersystemwithhigherordereffects
AT huiqinhao modulationinstabilitybreathersandboundsolitonsinanerbiumdopedfibersystemwithhigherordereffects
AT xiaosonggu modulationinstabilitybreathersandboundsolitonsinanerbiumdopedfibersystemwithhigherordereffects
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