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|Title:||On the Gross-Pitaevskii equation with strongly anisotropic confinement: Formal asymptotics and numerical experiments|
|Authors:||Bao, W. |
Time splitting-spectral techniques
|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|
|Appears in Collections:||Staff Publications|
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