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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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2002
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| Online Access: | 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 |
| _version_ | 1848777411111419904 |
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| author | Abdullaev, Fatkhulla Kh. Abdumalikov, Abdufarrukh A. Umarov, Bakhram |
| author_facet | Abdullaev, Fatkhulla Kh. Abdumalikov, Abdufarrukh A. Umarov, Bakhram |
| author_sort | Abdullaev, Fatkhulla Kh. |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:45:33Z |
| format | Article |
| id | iium-12179 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:45:33Z |
| publishDate | 2002 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| spellingShingle | QC Physics Abdullaev, Fatkhulla Kh. Abdumalikov, Abdufarrukh A. Umarov, Bakhram Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification |
| title | 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_short | Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification |
| title_sort | autosoliton in ablowitz-ladik chain with linear damping and nonlinear amplification |
| topic | QC Physics |
| 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 |