Integrability of an inhomogeneous nonlinear Schroedinger equation in Bose-Einstein condensates and fiber optics
Journal Article
·
· Journal of Mathematical Physics
- Dipartimento di Metodi e Modelli Matematici, Universita di Palermo, Viale delle Scienze, 90128 Palermo (Italy)
In this paper, we investigate the integrability of an inhomogeneous nonlinear Schroedinger equation, which has several applications in many branches of physics, as in Bose-Einstein condensates and fiber optics. The main issue deals with Painleve property (PP) and Liouville integrability for a nonlinear Schroedinger-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).
- OSTI ID:
- 21476495
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIBER OPTICS
FIBERS
INTEGRAL CALCULUS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MECHANICS
NONLINEAR PROBLEMS
OPTICAL FIBERS
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
WAVE EQUATIONS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIBER OPTICS
FIBERS
INTEGRAL CALCULUS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MECHANICS
NONLINEAR PROBLEMS
OPTICAL FIBERS
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
WAVE EQUATIONS