EXACT SOLUTIONS IN ONE-DIMENSIONAL BOSE–EINSTEIN GAS IN A TIME-VARYING TRAP POTENTIAL AND ATOMIC SCATTERING LENGTH

DOI10.1142/S0217979207036813zbMath1144.82304OpenAlexW2169021367MaRDI QIDQ3444908

S. T. Chui, Emmanuel Kengne

Publication date: 5 June 2007

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979207036813

zbMATH Keywords

Gross-Pitaevskii equationJacobian elliptic functionstraveling wave solutionbright solitondark solitoncigar-shaped Bose-Einstein condensatequasi-one-dimensional Bose-Einstein condensate

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum equilibrium statistical mechanics (general) (82B10) Applications of hypergeometric functions (33C90)

Related Items (1)

Explicit solutions to an effective Gross–Pitaevskii equation: One-dimensional Bose–Einstein condensate in specific traps

Cites Work

• Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
• Structure of a quantized vortex in boson systems
• Critical exponents and collapse of nonlinear Schr dinger equations with anisotropic fourth-order dispersion

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