TY - JOUR
T1 - A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates
AU - García-Ripoll, Juan J.
AU - Konotop, Vladimir V.
AU - Malomed, Boris
AU - Pérez-García, Víctor M.
N1 - Funding Information:
JJG-R and VMP-G have been supported by CICYT under grant BFM2000-0521. The cooperative work has been supported through the bilateral program DGCYT-HP1999-019/Ação no. E-89/00.
PY - 2003/2/13
Y1 - 2003/2/13
N2 - 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.
AB - 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.
KW - Blow-up phenomena
KW - Bose-Einstein condensation
KW - Nonlinear waves
UR - http://www.scopus.com/inward/record.url?scp=0037434584&partnerID=8YFLogxK
U2 - 10.1016/S0378-4754(02)00190-8
DO - 10.1016/S0378-4754(02)00190-8
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AN - SCOPUS:0037434584
SN - 0378-4754
VL - 62
SP - 21
EP - 30
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
IS - 1-2
T2 - Nonlinear Waves: Computation and Theory II
Y2 - 9 April 2001 through 12 April 2001
ER -