Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0218202505000534
Title: On the Gross-Pitaevskii equation with strongly anisotropic confinement: Formal asymptotics and numerical experiments
Authors: Bao, W. 
Markowich, P.A.
Schmeiser, C.
Weishäupl, R.M.
Keywords: Approximation error
Fourier expansion
Gross-Pitaevskii equation
Spectral decomposition
Time splitting-spectral techniques
Issue Date: May-2005
Citation: Bao, W., Markowich, P.A., Schmeiser, C., Weishäupl, R.M. (2005-05). On the Gross-Pitaevskii equation with strongly anisotropic confinement: Formal asymptotics and numerical experiments. Mathematical Models and Methods in Applied Sciences 15 (5) : 767-782. ScholarBank@NUS Repository. https://doi.org/10.1142/S0218202505000534
Abstract: The three-dimensional (3D) Gross-Pitaevskii equation with strongly anisotropic confining potential is analyzed. The formal limit as the ratio of the frequencies ε tends to zero provides a denumerable system of two-dimensional Gross-Pitaevskii equations, strongly coupled through the cubic nonlinearities. To numerically solve the asymptotic approximation only a finite number of limiting equations is considered. Finally, the approximation error for a fixed number of equations is compared for different ε tending to zero. On the other hand, the approximation error for an increasing number of terms in the approximation is observed. © World Scientific Publishing Company.
Source Title: Mathematical Models and Methods in Applied Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/104833
ISSN: 02182025
DOI: 10.1142/S0218202505000534
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