Painlev\'{e} test of coupled Gross-Pitaevskii equations
Exactly Solvable and Integrable Systems
2016-08-16 v1 Pattern Formation and Solitons
Abstract
Painlev\'{e} test of the coupled Gross-Pitaevskii equations has been carried out with the result that the coupled equations pass the P-test only if a special relation containing system parameters (masses, scattering lengths) is satisfied. Computer algebra is applied to evaluate j=4 compatibility condition for admissible external potentials. Appearance of an arbitrary real potential embedded in the external potentials is shown to be the consequence of the coupling. Connection with recent experiments related to stability of two-component Bose-Einstein condensates of Rb atoms is discussed.
Keywords
Cite
@article{arxiv.nlin/0309056,
title = {Painlev\'{e} test of coupled Gross-Pitaevskii equations},
author = {Dániel Schumayer and Barnabás Apagyi},
journal= {arXiv preprint arXiv:nlin/0309056},
year = {2016}
}
Comments
13 pages, no figures