Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation
We investigate the properties of modulational instability and discrete breathers in the cubic–quintic discrete nonlinear Schr¨odinger equation. We analyze the regions of modulational instabilities of nonlinear plane waves. Using the Page approach [J.B. Page, Phys. Rev. B 41 (1990) 7835], we derive...
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2007
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my.iium.irep.121292012-05-28T07:58:07Z http://irep.iium.edu.my/12129/ Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation Abdullaev, Fatkhulla Kh. Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram QC Physics We investigate the properties of modulational instability and discrete breathers in the cubic–quintic discrete nonlinear Schr¨odinger equation. We analyze the regions of modulational instabilities of nonlinear plane waves. Using the Page approach [J.B. Page, Phys. Rev. B 41 (1990) 7835], we derive the conditions for the existence and stability for bright discrete breather solutions. It is shown that the quintic nonlinearity brings qualitatively new conditions for stability of strongly localized modes. The application to the existence of localized modes in the Bose–Einstein condensate (BEC) with three-body interactions in an optical lattice is discussed. The numerical simulations agree with the analytical predictions. Elsevier 2007 Article REM application/pdf en http://irep.iium.edu.my/12129/1/sdarticle2Modulational_instability_and_discrete_breathers_in_the_discrete_cubic%E2%80%93quintic.pdf Abdullaev, Fatkhulla Kh. and Bouketir, Ahmed and Messikh, Azeddin and Umarov, Bakhram (2007) Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation. Physica D: Nonlinear Phenomena, 232 (1). pp. 54-61. ISSN 0167-2789 http://www.sciencedirect.com/science/article/pii/S0167278907001583 10.1016/j.physd.2007.05.005 |
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QC Physics Abdullaev, Fatkhulla Kh. Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation |
| description |
We investigate the properties of modulational instability and discrete breathers in the cubic–quintic discrete nonlinear Schr¨odinger equation. We analyze the regions of modulational instabilities of nonlinear plane waves. Using the Page approach [J.B. Page, Phys. Rev. B 41 (1990)
7835], we derive the conditions for the existence and stability for bright discrete breather solutions. It is shown that the quintic nonlinearity brings qualitatively new conditions for stability of strongly localized modes. The application to the existence of localized modes in the Bose–Einstein condensate (BEC) with three-body interactions in an optical lattice is discussed. The numerical simulations agree with the analytical predictions. |
| format |
Article |
| author |
Abdullaev, Fatkhulla Kh. Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram |
| author_facet |
Abdullaev, Fatkhulla Kh. Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram |
| author_sort |
Abdullaev, Fatkhulla Kh. |
| title |
Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation |
| title_short |
Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation |
| title_full |
Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation |
| title_fullStr |
Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation |
| title_full_unstemmed |
Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation |
| title_sort |
modulational instability and discrete breathers in discrete cubic–quintic nonlinear schrodinger equation |
| publisher |
Elsevier |
| publishDate |
2007 |
| url |
http://irep.iium.edu.my/12129/1/sdarticle2Modulational_instability_and_discrete_breathers_in_the_discrete_cubic%E2%80%93quintic.pdf http://irep.iium.edu.my/12129/ http://www.sciencedirect.com/science/article/pii/S0167278907001583 |
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