Analytical study of the nonlinear Schroedinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates

Journal Article · Wed Oct 15 04:00:00 EDT 2008 · Annals of Physics (New York)

OSTI ID:21163666

Bo, Tian ^[1]; Tao, Xu; Kejie, Cai; Wenjun, Liu ^[1]

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1. School of Science, P.O. Box 49, Beijing University of Posts and Telecommunications, Beijing 100876 (China)

Under investigation in this paper is a nonlinear Schroedinger equation with an arbitrary linear time-dependent potential, which governs the soliton dynamics in quasi-one-dimensional Bose-Einstein condensates (quasi-1DBECs). With Painleve analysis method performed to this model, its integrability is firstly examined. Then, the distinct treatments based on the truncated Painleve expansion, respectively, give the bilinear form and the Painleve-Baecklund transformation with a family of new exact solutions. Furthermore, via the computerized symbolic computation, a direct method is employed to easily and directly derive the exact analytical dark- and bright-solitonic solutions. At last, of physical and experimental interests, these solutions are graphically discussed so as to better understand the soliton dynamics in quasi-1DBECs.

• OSTI ID: 21163666
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 10 Vol. 323; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BAECKLUND TRANSFORMATION
BOSE-EINSTEIN CONDENSATION
CALCULATION METHODS
EXACT SOLUTIONS
INTEGRAL CALCULUS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
SCHROEDINGER EQUATION
SOLITONS
TIME DEPENDENCE