Plane wave solution of extended discrete nonlinear Schrödinger equation
In this paper, we considered the extended discrete nonlinear Schrödinger equation (EDNLSE) which includes the nearest neighbour nonlinear interaction in addition to the on-site cubic and quintic nonlinearities. The objective of this study is to investigate the modulational instability of plane mat...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | en |
| Published: |
Penerbit UTM Press
2020
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/86865/1/1729-8558-4-PB.pdf http://irep.iium.edu.my/86865/ https://mjfas.utm.my/index.php/mjfas/article/view/1729 |
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| Summary: | In this paper, we considered the extended discrete nonlinear Schrödinger equation (EDNLSE) which
includes the nearest neighbour nonlinear interaction in addition to the on-site cubic and quintic
nonlinearities. The objective of this study is to investigate the modulational instability of plane matterwave
solution in dipolar Bose-Einstein Condensates (BEC) in a periodic optical lattice and to
compare the analytical results with numerical. Analytically, the problem is solved by using perturbed
solution of the plane wave where the instability of the gain can be obtained. The conditions of the
stability of the plane wave had been analysed and confirmed numerically, by applications of Runge-
Kutta method. Three specific cases were studied where only cubic-quintic nonlinearity(q = 0) is
considered, only quintic-dipolar (alpha = 0) is considered and lastly non-zero for all terms. The
numerical results are aligned with the analytical results. |
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