Painleve singularity structure analysis of three component Gross-Pitaevskii type equations

Journal Article · Sun Nov 15 00:00:00 EST 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3263936· OSTI ID:21294462

Kanna, T; Sakkaravarthi, K ^[1]; Kumar, C Senthil ^[2]; Lakshmanan, M ^[3]; Wadati, M ^[4]

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1. Department of Physics, Bishop Heber College, Tiruchirapalli 620 017 (India)
2. Department of Physics, VMKV Engineering College, Periaseeragapadi, Salem 636 308 (India)
3. Centre for Nonlinear Dynamics, Bharathidasan University, Tiruchirapalli 620 024 (India)
4. Department of Physics, Faculty of Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601 (Japan)

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 Painleve singularity structure analysis. We show that only for two sets of parametric choices, corresponding to the known integrable cases, the system passes the Painleve test.

• OSTI ID: 21294462
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 11; Other Information: DOI: 10.1063/1.3263936; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
EQUATIONS
INTEGRAL CALCULUS
MATHEMATICAL EVOLUTION
NONLINEAR PROBLEMS
PHOTON-ATOM COLLISIONS
RADIATION PRESSURE
SINGULARITY
VECTORS