Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion

We perform modulational instability analysis of the Kuznetsov-Ma breather (KMB) propagating in a medium with constant and periodic dispersions. In the constant dispersion case, we show that the most unstable modulational instability eigenmode leads to bifurcation of the KMB into a sequence of bre...

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Main Authors:	Al Khawaja, Usama, Al-Marzoug, S.M., Bahlouli, H, Abdullaev, Fatkhulla Kh.
Format:	Article
Language:	English
Published:	Elsevier 2016
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/45478/ http://irep.iium.edu.my/45478/ http://irep.iium.edu.my/45478/ http://irep.iium.edu.my/45478/1/1-s2.0-S1007570415002592-main.pdf

id	iium-45478
recordtype	eprints
spelling	iium-454782017-01-18T08:45:41Z http://irep.iium.edu.my/45478/ Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion Al Khawaja, Usama Al-Marzoug, S.M. Bahlouli, H Abdullaev, Fatkhulla Kh. QC Physics We perform modulational instability analysis of the Kuznetsov-Ma breather (KMB) propagating in a medium with constant and periodic dispersions. In the constant dispersion case, we show that the most unstable modulational instability eigenmode leads to bifurcation of the KMB into a sequence of breathers. The time at which bifurcation starts and the bifurcation rate are quantitatively accounted for. In the case of a KMB propagating in an optical fiber with a constant dispersion perturbed by a sinusoidal time-dependent modulation our results suggest that the KMB is most unstable just before and after the breather reaches its maximum peak height. Parametric resonance occurs when the frequency of the dispersion modulation is much larger than the natural frequency of the breather. Elsevier 2016-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/45478/1/1-s2.0-S1007570415002592-main.pdf Al Khawaja, Usama and Al-Marzoug, S.M. and Bahlouli, H and Abdullaev, Fatkhulla Kh. (2016) Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion. Communications in Nonlinear Science and Numerical Simulation, 32. pp. 1-9. ISSN 1007-5704 http://www.journals.elsevier.com/communications-in-nonlinear-science-and-numerical-simulation/ 10.1016/j.cnsns.2015.07.012
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QC Physics
spellingShingle	QC Physics Al Khawaja, Usama Al-Marzoug, S.M. Bahlouli, H Abdullaev, Fatkhulla Kh. Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
description	We perform modulational instability analysis of the Kuznetsov-Ma breather (KMB) propagating in a medium with constant and periodic dispersions. In the constant dispersion case, we show that the most unstable modulational instability eigenmode leads to bifurcation of the KMB into a sequence of breathers. The time at which bifurcation starts and the bifurcation rate are quantitatively accounted for. In the case of a KMB propagating in an optical fiber with a constant dispersion perturbed by a sinusoidal time-dependent modulation our results suggest that the KMB is most unstable just before and after the breather reaches its maximum peak height. Parametric resonance occurs when the frequency of the dispersion modulation is much larger than the natural frequency of the breather.
format	Article
author	Al Khawaja, Usama Al-Marzoug, S.M. Bahlouli, H Abdullaev, Fatkhulla Kh.
author_facet	Al Khawaja, Usama Al-Marzoug, S.M. Bahlouli, H Abdullaev, Fatkhulla Kh.
author_sort	Al Khawaja, Usama
title	Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
title_short	Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
title_full	Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
title_fullStr	Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
title_full_unstemmed	Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
title_sort	modulational instability of the kuznetsov-ma breather in optical fibers with constant and periodic dispersion
publisher	Elsevier
publishDate	2016
url	http://irep.iium.edu.my/45478/ http://irep.iium.edu.my/45478/ http://irep.iium.edu.my/45478/ http://irep.iium.edu.my/45478/1/1-s2.0-S1007570415002592-main.pdf
first_indexed	2023-09-18T21:04:44Z
last_indexed	2023-09-18T21:04:44Z
_version_	1777410857263693824

Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion

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