Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management
The existence of dark compacton solution of discrete nonlinear Schrödinger (DNLS) equation with strong nonlinearity management (SNLM) is investigated. The stability analysis was carry out using standard linearization stability procedure.Even though the stability regime is not so wide but evident...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English English English |
| Published: |
Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51974/ http://irep.iium.edu.my/51974/7/51974-new.pdf http://irep.iium.edu.my/51974/13/51974_dark%20compactons_scopus.pdf http://irep.iium.edu.my/51974/18/51974_Dark%20compactons%20in%20nonlinear%20Schr%C3%B6dinger%20Lattices_WoS.pdf |
| _version_ | 1848783971290185728 |
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| author | Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. M, Salerno |
| author_facet | Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. M, Salerno |
| author_sort | Abdul Hadi, Muhammad Salihi |
| building | IIUM Repository |
| collection | Online Access |
| description | The existence of dark compacton solution of discrete nonlinear Schrödinger
(DNLS) equation with strong nonlinearity management (SNLM) is investigated.
The stability analysis was carry out using standard linearization
stability procedure.Even though the stability regime is not so wide but
evidently some stable dark compactons can exist in the SNLM DNLS
system. Surprisingly, even within the confirmed stability regime from
the analysis, the time evolution of the dark compacton solution exhibits
small bounded ripples. |
| first_indexed | 2025-11-14T16:29:49Z |
| format | Proceeding Paper |
| id | iium-51974 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:29:49Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-519742017-10-03T07:32:25Z http://irep.iium.edu.my/51974/ Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. M, Salerno QA Mathematics QC Physics The existence of dark compacton solution of discrete nonlinear Schrödinger (DNLS) equation with strong nonlinearity management (SNLM) is investigated. The stability analysis was carry out using standard linearization stability procedure.Even though the stability regime is not so wide but evidently some stable dark compactons can exist in the SNLM DNLS system. Surprisingly, even within the confirmed stability regime from the analysis, the time evolution of the dark compacton solution exhibits small bounded ripples. Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia 2016-02 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/51974/7/51974-new.pdf application/pdf en http://irep.iium.edu.my/51974/13/51974_dark%20compactons_scopus.pdf application/pdf en http://irep.iium.edu.my/51974/18/51974_Dark%20compactons%20in%20nonlinear%20Schr%C3%B6dinger%20Lattices_WoS.pdf Abdul Hadi, Muhammad Salihi and Umarov, Bakhram A. and Abdullaev, Fatkhulla Kh. and M, Salerno (2016) Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management. In: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14), 23rd-25th November 2015, Kuala Lumpur, Malaysia. http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb2/No25.pdf |
| spellingShingle | QA Mathematics QC Physics Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. M, Salerno Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management |
| title | Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management |
| title_full | Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management |
| title_fullStr | Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management |
| title_full_unstemmed | Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management |
| title_short | Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management |
| title_sort | dark compactons in nonlinear schrödinger lattices with strong nonlinearity management |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/51974/ http://irep.iium.edu.my/51974/ http://irep.iium.edu.my/51974/7/51974-new.pdf http://irep.iium.edu.my/51974/13/51974_dark%20compactons_scopus.pdf http://irep.iium.edu.my/51974/18/51974_Dark%20compactons%20in%20nonlinear%20Schr%C3%B6dinger%20Lattices_WoS.pdf |