Localized solutions of extended discrete nonlinear schrödinger equation
We consider the extended discrete nonlinear SchrÄodinger (EDNLSE) equation which includes the nearest neighbor nonlinear interaction in addition to the on-site cubic and quintic nonlinearities. This equation describes nonlinear excitations in dipolar Bose-Einstein condensate in a periodic optical...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
Institute of Physics Publishing
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/8/60318_Localized%20solutions%20of%20extended_complete_new.pdf http://irep.iium.edu.my/60318/9/60318_Localized%20solutions%20of%20extended_scopus.pdf |
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| author | Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla |
| author_facet | Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla |
| author_sort | Umarov, Bakhram A. |
| building | IIUM Repository |
| collection | Online Access |
| description | We consider the extended discrete nonlinear SchrÄodinger (EDNLSE) equation
which includes the nearest neighbor nonlinear interaction in addition to the on-site cubic and
quintic nonlinearities. This equation describes nonlinear excitations in dipolar Bose-Einstein
condensate in a periodic optical lattice. We are particularly interested with the existence
and stability conditions of localized nonlinear excitations of di®erent types. The problem is
tackled numerically, by application of Newton methods and by solving the eigenvalue problem
for linearized system near the exact solution. Also the modulational instability of plane wave
solution is discussed. |
| first_indexed | 2025-11-14T16:53:39Z |
| format | Proceeding Paper |
| id | iium-60318 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:53:39Z |
| publishDate | 2017 |
| publisher | Institute of Physics Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-603182018-07-10T09:18:14Z http://irep.iium.edu.my/60318/ Localized solutions of extended discrete nonlinear schrödinger equation Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla QA Mathematics QC Physics We consider the extended discrete nonlinear SchrÄodinger (EDNLSE) equation which includes the nearest neighbor nonlinear interaction in addition to the on-site cubic and quintic nonlinearities. This equation describes nonlinear excitations in dipolar Bose-Einstein condensate in a periodic optical lattice. We are particularly interested with the existence and stability conditions of localized nonlinear excitations of di®erent types. The problem is tackled numerically, by application of Newton methods and by solving the eigenvalue problem for linearized system near the exact solution. Also the modulational instability of plane wave solution is discussed. Institute of Physics Publishing 2017 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/60318/8/60318_Localized%20solutions%20of%20extended_complete_new.pdf application/pdf en http://irep.iium.edu.my/60318/9/60318_Localized%20solutions%20of%20extended_scopus.pdf Umarov, Bakhram A. and Ismail, Nazmi Hakim and Abdul Hadi, Muhammad Salihi and Hassan, Torla (2017) Localized solutions of extended discrete nonlinear schrödinger equation. In: 1st International Conference on Applied and Industrial Mathematics and Statistics 2017, ICoAIMS 2017, 8-10 August 2017, Vistana City CentreKuantan. http://iopscience.iop.org/journal/1742-6596 10.1088/1742-6596/890/1/012072 |
| spellingShingle | QA Mathematics QC Physics Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla Localized solutions of extended discrete nonlinear schrödinger equation |
| title | Localized solutions of extended discrete nonlinear
schrödinger equation |
| title_full | Localized solutions of extended discrete nonlinear
schrödinger equation |
| title_fullStr | Localized solutions of extended discrete nonlinear
schrödinger equation |
| title_full_unstemmed | Localized solutions of extended discrete nonlinear
schrödinger equation |
| title_short | Localized solutions of extended discrete nonlinear
schrödinger equation |
| title_sort | localized solutions of extended discrete nonlinear
schrödinger equation |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/8/60318_Localized%20solutions%20of%20extended_complete_new.pdf http://irep.iium.edu.my/60318/9/60318_Localized%20solutions%20of%20extended_scopus.pdf |