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: | Conference or Workshop Item |
| 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/ 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 |
| Summary: | 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. |
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