Painlev{\'e} singularity structure analysis of three component Gross-Pitaevskii type equations
Exactly Solvable and Integrable Systems
2015-05-14 v1 Pattern Formation and Solitons
Abstract
In this paper, we have studied the integrability nature of a system of three coupled Gross-Pitaevskii type nonlinear evolution equations arising in the context of spinor Bose-Einstein condensates by applying the Painlev\'e singularity structure analysis. We show that only for two sets of parametric choices, corresponding to the known integrable cases, the system passes the Painlev\'e test.
Keywords
Cite
@article{arxiv.0910.4841,
title = {Painlev{\'e} singularity structure analysis of three component Gross-Pitaevskii type equations},
author = {T. Kanna and K. Sakkaravarthi and C. Senthil Kumar and M. Lakshmanan and M. Wadati},
journal= {arXiv preprint arXiv:0910.4841},
year = {2015}
}
Comments
17 pages. Accepted in Journal of Mathematical Physics