Exact eigenfunctions of the linear ramp potential in the Gross-Pitaevskii equation for the Bose-Einstein condensate

DOI10.1016/S0375-9601(01)00514-XzbMath0976.82009MaRDI QIDQ5950401

No author found.

Publication date: 11 December 2001

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

globally non-singular functionsmagnetically trapped Bose gasessecond Painlevé transcendent

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

Painlevé equations -- nonlinear special functions. ⋮ Exact transmission state of a Bose-Einstein condensate in a near-harmonic trap

Cites Work

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• A connection formula for the second Painlevé transcendent
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• The similarity solution for the Korteweg-de Vries equation and the related Painlevé transcendent