Integrability of an inhomogeneous nonlinear Schroedinger equation in Bose–Einstein condensates and fiber optics
- Autori: Brugarino, T.; Sciacca, M.
- Anno di pubblicazione: 2010
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Analisi di Painlevé; Integrability; Equazione di Schroedinger nonlinear; Condensates di Bose–Einstein; Fibre ottiche.
- OA Link: http://hdl.handle.net/10447/53023
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).