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Painlevé singularity structure analysis of three component Gross–Pitaevskii type equations

J. Math. Phys. 50, 113520 (2009); doi:10.1063/1.3263936

Published 25 November 2009

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T. Kanna,1 K. Sakkaravarthi,1 C. Senthil Kumar,2 M. Lakshmanan,3 and M. Wadati4
1Department of Physics, Bishop Heber College, Tiruchirapalli 620 017, India
2Department of Physics, VMKV Engineering College, Periaseeragapadi, Salem 636 308, India
3Centre for Nonlinear Dynamics, Bharathidasan University, Tiruchirapalli 620 024, India
4Department 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 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. ©2009 American Institute of Physics
History: Received 10 September 2009; accepted 14 October 2009; published 25 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/113520/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.75.Mn
    Multicomponent condensates; spinor condensates
  • 37.10.Vz
    Mechanical effects of light on atoms, molecules and ions
  • 32.80.-t
    Photoionization and excitation of atoms
  • YEAR: 2009

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ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (37)
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  1. M. Lakshmanan and S. Rajasekar, Nonlinear Dynamics: Integrability, Chaos and Patterns (Springer-Verlag, New York, 2003).
  2. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, 1992).
  3. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003).
  4. T. Dauxois and M. Peyrad, Physics of Solitons (Cambridge University Press, Cambridge, 2006).
  5. A. C. Scott, Nonlinear Science: Emergence and Dynamics of Coherent Structures (Oxford University Press, Oxford, 1999).
  6. M. J. Ablowitz, A. Ramani, and H. Segur, J. Math. Phys. 21, 715 (1980).
  7. M. Jimbo, M. D. Kruskal, and T. Miwa, Phys. Lett. A 92, 59 (1982).
  8. J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. 24, 522 (1983).
  9. J. Weiss, J. Math. Phys. 25, 13 (1984).
  10. M. Lakshmanan and R. Sahadevan, Phys. Rep. 224, 1 (1993).
  11. R. Sahadevan, K. M. Tamizhmani, and M. Lakshmanan, J. Phys. A 19, 1783 (1986).
  12. R. Radhakrishnan, R. Sahadevan, and M. Lakshmanan, Chaos, Solitons Fractals 5, 2315 (1995).
  13. R. Radhakrishnan, M. Lakshmanan, and M. Daniel, J. Phys. A 28, 7299 (1995).
  14. Q. -H. Park and H. J. Shin, Phys. Rev. E 59, 2373 (1999).
  15. S. Yu. Sakovich and T. Tsuchida, J. Phys. A 33, 7217 (2000).
  16. D. Schumayer and B. Apagyi, J. Phys. A 34, 4969 (2001).
  17. T. -L. Ho and V. B. Shenoy, Phys. Rev. Lett. 77, 3276 (1996).
  18. R. J. Ballagh, K. Burnett, and T. F. Scott, Phys. Rev. Lett. 78, 1607 (1997).
  19. S. Rajendran, P. Muruganandam, and M. Lakshmanan, J. Phys. B 42, 145307 (2009).
  20. J. Stenger, S. Inouye, D. M. Stamper-Kurn, H. J. Miesner, A. P. Chikkatur, and W. Ketterle, Nature (London) 396, 345 (1998).
  21. D. M. Stamper-Kurn, M. R. Andrews, A. P. Chikkatur, S. Inouye, H. J. Miesner, J. Stenger, and W. Ketterle, Phys. Rev. Lett. 80, 2027 (1998).
  22. H. J. Miesner, D. M. Stamper-Kurn, J. Stenger, S. Inouye, A. P. Chikkatur, and W. Ketterle, Phys. Rev. Lett. 82, 2228 (1999).
  23. C. J. Myatt, E. A. Burt, R. W. Ghrist, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 78, 586 (1997).
  24. T. -L. Ho, Phys. Rev. Lett. 81, 742 (1998).
  25. T. Ohmi and K. Machida, J. Phys. Soc. Jpn. 67, 1822 (1998).
  26. E. V. Goldstein and P. Meystre, Phys. Rev. A 59, 1509 (1999).
  27. C. K. Law, H. Pu, and N. P. Bigelow, Phys. Rev. Lett. 81, 5257 (1998).
  28. J. Ieda, T. Miyakawa, and M. Wadati, Phys. Rev. Lett. 93, 194102 (2004).
  29. J. Ieda, T. Miyakawa, and M. Wadati, J. Phys. Soc. Jpn. 73, 2996 (2004).
  30. M. Uchiyama, J. Ieda, and M. Wadati, J. Phys. Soc. Jpn. 75, 064002 (2006).
  31. T. Kurosaki and M. Wadati, J. Phys. Soc. Jpn. 76, 084002 (2007).
  32. M. Daniel, M. D. Kruskal, M. Lakshmanan, and K. Nakamura, J. Math. Phys. 33, 771 (1992).
  33. T. Tsuchida and M. Wadati, J. Phys. Soc. Jpn. 67, 1175 (1998).
  34. J. Ieda, M. Uchiyama, and M. Wadati, J. Math. Phys. 48, 013507 (2007).
  35. T. Kanna and M. Lakshmanan, Phys. Rev. Lett. 86, 5043 (2001).
  36. T. Kanna and M. Lakshmanan, Phys. Rev. E 67, 046617 (2003).
  37. M. Uchiyama, J. Ieda, and M. Wadati, J. Phys. Soc. Jpn. 76, 074005 (2007).

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