Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations

Details Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations

2009-10-26

arxiv.org/abs/0910.4841v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages. Accepted in Journal of Mathematical Physics

Scientific paper

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.

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