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Lax representation with a spectral parameter for the Kowalewski top and its generalizations

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Abstract

We construct a Lax pair with a spectral parameter for the Kowalewski top in two constant force fields combined with magnetic interaction, and for its higher-dimensional generalizations.

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References

  1. 1.

    KowalewskiS., Acta Math. 12, 177–232 (1889).

  2. 2.

    PerelomovA. M., Commun. Math. Phys. 81, 239–243 (1981).

  3. 3.

    ReymanA. G., and Semenov-Tian-ShanskyM. A., Invent. Math. 54, 81–100 (1979).

  4. 4.

    ReymanA. G., J. Sov. Math. 19, 1507–1545 (1982).

  5. 5.

    ReymanA. G. and Semenov-Tian-ShanskyM. A., Commun. Math. Phys. 106, 161–172 (1986).

  6. 6.

    BogoyavlenskyO. I., Commun. Math. Phys. 95, 307–315 (1984).

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Reyman, A.G., Semenov-Tjan-Shansky, M.A. Lax representation with a spectral parameter for the Kowalewski top and its generalizations. Lett Math Phys 14, 55–61 (1987). https://doi.org/10.1007/BF00403470

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Keywords

  • Statistical Physic
  • Force Field
  • Group Theory
  • Constant Force
  • Spectral Parameter