A quasi-local Gross–Pitaevskii equation for attractive Bose–Einstein condensates

Garcı́a-Ripoll, Juan J., Vladimir V. Konotop, Boris Malomed and Pérez-Garcı́a, Vı́ctor M.

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 62, issue 1, 21-30

Abstract: We study a quasi-local approximation for a nonlocal nonlinear Schrödinger equation. The problem is closely related to several applications, in particular to Bose–Einstein condensates with attractive two-body interactions. The nonlocality is approximated by a nonlinear dispersion term, which is controlled by physically meaningful parameters. We show that the phenomenology found in the nonlocal model is very similar to that present in the reduced one with the nonlinear dispersion. We prove rigorously the absence of collapse in the model, and obtain numerically its stable soliton-like ground state.

Keywords: Nonlinear waves; Bose–Einstein condensation; Blow-up phenomena (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:62:y:2003:i:1:p:21-30

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