Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity

Abstract The existence, stability and collision dynamics of moving Bragg grating solitons in a semilinear dual-core system where one core has the Kerr nonlinearity and is equipped with a Bragg grating with dispersive reflectivity, and the other core is linear are investigated. It is found that movin...

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Autores principales:	S. A. M. Saddam Chowdhury, Javid Atai
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ab792c13d1714da899c41b170ba625e9
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spelling	oai:doaj.org-article:ab792c13d1714da899c41b170ba625e92021-12-02T16:07:43ZMoving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity10.1038/s41598-017-04179-62045-2322https://doaj.org/article/ab792c13d1714da899c41b170ba625e92017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04179-6https://doaj.org/toc/2045-2322Abstract The existence, stability and collision dynamics of moving Bragg grating solitons in a semilinear dual-core system where one core has the Kerr nonlinearity and is equipped with a Bragg grating with dispersive reflectivity, and the other core is linear are investigated. It is found that moving soliton solutions exist as a continuous family of solutions in the upper and lower gaps of the system’s linear spectrum. The stability of the moving solitons are investigated by means of systematic numerical stability analysis, and the effect and interplay of various parameters on soliton stability are analyzed. We have also systematically investigated the characteristics of collisions of counter-propagating solitons. In-phase collisions can lead to a variety of outcomes such as passage of solitons through each other with increased, reduced or unchanged velocities, asymmetric separation of solitons, merger of solitons into a quiescent one, formation of three solitons (one quiescent and two moving ones) and destruction of both solitons. The outcome regions of in-phase collisions are identified in the plane of dispersive reflectivity versus frequency. The effects of coupling coefficient, relative group velocity in the linear core, soliton velocity and dispersive reflectivity and the initial phase difference on the outcomes of collisions are studied.S. A. M. Saddam ChowdhuryJavid AtaiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-12 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q S. A. M. Saddam Chowdhury Javid Atai Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
description	Abstract The existence, stability and collision dynamics of moving Bragg grating solitons in a semilinear dual-core system where one core has the Kerr nonlinearity and is equipped with a Bragg grating with dispersive reflectivity, and the other core is linear are investigated. It is found that moving soliton solutions exist as a continuous family of solutions in the upper and lower gaps of the system’s linear spectrum. The stability of the moving solitons are investigated by means of systematic numerical stability analysis, and the effect and interplay of various parameters on soliton stability are analyzed. We have also systematically investigated the characteristics of collisions of counter-propagating solitons. In-phase collisions can lead to a variety of outcomes such as passage of solitons through each other with increased, reduced or unchanged velocities, asymmetric separation of solitons, merger of solitons into a quiescent one, formation of three solitons (one quiescent and two moving ones) and destruction of both solitons. The outcome regions of in-phase collisions are identified in the plane of dispersive reflectivity versus frequency. The effects of coupling coefficient, relative group velocity in the linear core, soliton velocity and dispersive reflectivity and the initial phase difference on the outcomes of collisions are studied.
format	article
author	S. A. M. Saddam Chowdhury Javid Atai
author_facet	S. A. M. Saddam Chowdhury Javid Atai
author_sort	S. A. M. Saddam Chowdhury
title	Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
title_short	Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
title_full	Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
title_fullStr	Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
title_full_unstemmed	Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
title_sort	moving bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/ab792c13d1714da899c41b170ba625e9
work_keys_str_mv	AT samsaddamchowdhury movingbragggratingsolitonsinasemilineardualcoresystemwithdispersivereflectivity AT javidatai movingbragggratingsolitonsinasemilineardualcoresystemwithdispersivereflectivity
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Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity

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