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EnglishIn this paper, we investigate the integrability of an inhomogeneous nonlinear Schrödinger equation, which has several applications in many branches of physics, as in Bose-Einstein condensates and fiber optics. The main issue deals with Painlevé property (PP) and Liouville integrability for a nonlinear Schrödinger-type equation. Solutions of the integrable equation are obtained by means of the Darboux transformation. Finally, some applications on fiber optics and Bose-Einstein condensates are proposed (including Bose-Einstein condensates in three-dimensional in cylindrical symmetry).
Brugarino, T., & Sciacca, M. (2010). Integrability of an inhomogeneous nonlinear Schroedinger equation in Bose–Einstein condensates and fiber optics. JOURNAL OF MATHEMATICAL PHYSICS, 51, 093503-1-093503-18.
| Data di pubblicazione: | 2010 |
| Titolo: | Integrability of an inhomogeneous nonlinear Schroedinger equation in Bose–Einstein condensates and fiber optics |
| Autori: | |
| Citazione: | Brugarino, T., & Sciacca, M. (2010). Integrability of an inhomogeneous nonlinear Schroedinger equation in Bose–Einstein condensates and fiber optics. JOURNAL OF MATHEMATICAL PHYSICS, 51, 093503-1-093503-18. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1063/1.3462746 |
| Abstract: | In this paper, we investigate the integrability of an inhomogeneous nonlinear Schrödinger equation, which has several applications in many branches of physics, as in Bose-Einstein condensates and fiber optics. The main issue deals with Painlevé property (PP) and Liouville integrability for a nonlinear Schrödinger-type equation. Solutions of the integrable equation are obtained by means of the Darboux transformation. Finally, some applications on fiber optics and Bose-Einstein condensates are proposed (including Bose-Einstein condensates in three-dimensional in cylindrical symmetry). |
| URL: | http://aip.scitation.org/doi/abs/10.1063/1.3462746 |
| Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/53023
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