Painlevé test of coupled Gross-Pitaevskii equations

Details Painlevé test of coupled Gross-Pitaevskii equations Painlevé test of coupled Gross-Pitaevskii equations

2003-09-21

arxiv.org/abs/nlin/0309056v1

Journal of Physics A: Mathematical and General, vol34, 4969-4981 (2001)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, no figures

Scientific paper

10.1088/0305-4470/34/23/312

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.

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