Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations
arXiv:0910.4841 · doi:10.1063/1.3263936
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 Painlevé singularity structure analysis. We show that only for two sets of parametric choices, corresponding to the known integrable cases, the system passes the Painlevé test.
17 pages. Accepted in Journal of Mathematical Physics
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- Painlevé Analysis and Higher-Order Rogue Waves of a Generalized(3+1)-dimensional Shallow Water Wave Equation
- Non-autonomous bright matter wave solitons in spinor Bose-Einstein condensates
- Bright Matter-Wave Bound Soliton Molecules in Spin-1 Bose-Einstein Condensates with Non-autonomous Nonlinearities