Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification

The existence of discrete autosolitons in a nonlinear lattice is studied. The Ablowitz–Ladik (AL) model with linear damping, nonlinear cubic amplification and quintic damping and complex second difference representing the discrete analog of the filter is investigated. The parameters of the autosolit...

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Main Authors:	Abdullaev, Fatkhulla Kh., Abdumalikov, Abdufarrukh A., Umarov, Bakhram
Format:	Article
Language:	English
Published:	Elsevier 2002
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/12179/ http://irep.iium.edu.my/12179/ http://irep.iium.edu.my/12179/ http://irep.iium.edu.my/12179/1/Autosoliton_in_Ablowitz%E2%80%93Ladik_chain_with_linear_damping_andl.pdf

id	iium-12179
recordtype	eprints
spelling	iium-121792012-05-29T00:38:48Z http://irep.iium.edu.my/12179/ Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification Abdullaev, Fatkhulla Kh. Abdumalikov, Abdufarrukh A. Umarov, Bakhram QC Physics The existence of discrete autosolitons in a nonlinear lattice is studied. The Ablowitz–Ladik (AL) model with linear damping, nonlinear cubic amplification and quintic damping and complex second difference representing the discrete analog of the filter is investigated. The parameters of the autosoliton are calculated using the perturbation theory for the AL model. Analytical predictions are confirmed by numerical simulations of the AL model with nonconservative perturbations. Elsevier 2002 Article PeerReviewed application/pdf en http://irep.iium.edu.my/12179/1/Autosoliton_in_Ablowitz%E2%80%93Ladik_chain_with_linear_damping_andl.pdf Abdullaev, Fatkhulla Kh. and Abdumalikov, Abdufarrukh A. and Umarov, Bakhram (2002) Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification. Physics Letters A, 305 (6). pp. 371-306. ISSN 0375-9601 http://www.sciencedirect.com/science/article/pii/S0375960102015104 10.1016/S0375-9601(02)01510-4
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 Abdullaev, Fatkhulla Kh. Abdumalikov, Abdufarrukh A. Umarov, Bakhram Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification
description	The existence of discrete autosolitons in a nonlinear lattice is studied. The Ablowitz–Ladik (AL) model with linear damping, nonlinear cubic amplification and quintic damping and complex second difference representing the discrete analog of the filter is investigated. The parameters of the autosoliton are calculated using the perturbation theory for the AL model. Analytical predictions are confirmed by numerical simulations of the AL model with nonconservative perturbations.
format	Article
author	Abdullaev, Fatkhulla Kh. Abdumalikov, Abdufarrukh A. Umarov, Bakhram
author_facet	Abdullaev, Fatkhulla Kh. Abdumalikov, Abdufarrukh A. Umarov, Bakhram
author_sort	Abdullaev, Fatkhulla Kh.
title	Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification
title_short	Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification
title_full	Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification
title_fullStr	Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification
title_full_unstemmed	Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification
title_sort	autosoliton in ablowitz-ladik chain with linear damping and nonlinear amplification
publisher	Elsevier
publishDate	2002
url	http://irep.iium.edu.my/12179/ http://irep.iium.edu.my/12179/ http://irep.iium.edu.my/12179/ http://irep.iium.edu.my/12179/1/Autosoliton_in_Ablowitz%E2%80%93Ladik_chain_with_linear_damping_andl.pdf
first_indexed	2023-09-18T20:21:25Z
last_indexed	2023-09-18T20:21:25Z
_version_	1777408132394254336

Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification

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