Integrability of a general Gross-Pitaevskii equation and exact solitonic solutions of a Bose-Einstein condensate in a periodic potential

DOI10.1016/J.PHYSLETA.2009.05.049zbMath1231.82043OpenAlexW2127142526MaRDI QIDQ663033

Publication date: 13 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.05.049

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Soliton solutions (35C08) Ion traps (78A37)

Related Items (5)

Stability of matter-wave soliton in a time-dependent complicated trap ⋮ Strong non-monotonic behavior of particle density of solitary waves of nonlinear Schrödinger equation in Bose-Einstein condensates ⋮ Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate ⋮ New dynamics of the classical and nonlocal Gross-Pitaevskii equation with a parabolic potential ⋮ A good approximation of modulated amplitude waves in Bose-Einstein condensates

Cites Work

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