A Lax pair of the discrete Euler top

  title={A Lax pair of the discrete Euler top},
  author={Kinji Kimura},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • K. Kimura
  • Published 7 November 2016
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We proposed the discrete Euler top in 2000. In that paper, exact solutions and conserved quantities are described. However, a Lax pair of our proposed discrete Euler top is not contained. Moreover, the Lax pair is still unknown. In this paper, from a generalized eigenvalue problem, we obtain the Lax pair of the discrete Euler top. 

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