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
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Online Access:http://irep.iium.edu.my/12179/1/Autosoliton_in_Ablowitz%E2%80%93Ladik_chain_with_linear_damping_andl.pdf
http://irep.iium.edu.my/12179/
http://www.sciencedirect.com/science/article/pii/S0375960102015104
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/12179/1/Autosoliton_in_Ablowitz%E2%80%93Ladik_chain_with_linear_damping_andl.pdf
http://irep.iium.edu.my/12179/
http://www.sciencedirect.com/science/article/pii/S0375960102015104
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