@inproceedings{68537e1fa4f645479332cd971ce48b25,
title = "Nonlinear Schr{\"o}dinger equations for Bose-Einstein condensates",
abstract = "The Gross-Pitaevskii equation, or more generally the nonlinear Schr{\"o}dinger equation, models the Bose-Einstein condensates in a macroscopic gaseous superfluid wave-matter state in ultra-cold temperature. We provide analytical study of the NLS with L2 initial data in order to understand propagation of the defocusing and focusing waves for the BEC mechanism in the presence of electromagnetic fields. Numerical simulations are performed for the two-dimensional GPE with anisotropic quadratic potentials.",
keywords = "BEC, electromagnetic potential, nonlinear Schr?dinger equation",
author = "Luigi Galati and Shijun Zheng",
year = "2013",
doi = "10.1063/1.4828682",
language = "English",
isbn = "9780735411906",
series = "AIP Conference Proceedings",
pages = "50--64",
booktitle = "Nonlinear and Modern Mathematical Physics - Proceedings of the 2nd International Workshop",
note = "2nd International Workshop on Nonlinear and Modern Mathematical Physics, NMMP 2013 ; Conference date: 09-03-2013 Through 11-03-2013",
}