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

Juan J. García-Ripoll*, Vladimir V. Konotop, Boris Malomed, Víctor M. Pérez-García

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

54 Scopus citations

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.

Original languageEnglish
Pages (from-to)21-30
Number of pages10
JournalMathematics and Computers in Simulation
Volume62
Issue number1-2
DOIs
StatePublished - 13 Feb 2003
EventNonlinear Waves: Computation and Theory II - Athens, GE, United States
Duration: 9 Apr 200112 Apr 2001

Funding

FundersFunder number
Comisión Interministerial de Ciencia y TecnologíaDGCYT-HP1999-019, BFM2000-0521

    Keywords

    • Blow-up phenomena
    • Bose-Einstein condensation
    • Nonlinear waves

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