A Lax pair of the discrete Euler top

作者：Kimura Kinji^*

来源：Journal of Physics A-Mathematical and Theoretical, 2017, 50(24): 245203.

DOI：10.1088/1751-8121/aa5df9

• Lax pair
• discrete Euler top
• discrete integrable system
• generalized eigenvalue problem

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.

• 出版日期2017-6-16