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).
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 [10.1063/1.3462746].
Integrability of an inhomogeneous nonlinear Schroedinger equation in Bose–Einstein condensates and fiber optics
BRUGARINO, Tommaso;SCIACCA, Michele
2010-01-01
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).
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