A Lax pair of the discrete Euler top in terms of quaternions
Exactly Solvable and Integrable Systems
2017-04-07 v6
Abstract
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. In addition, we introduce another Lax pair of the discrete Euler top in terms of quaternions.
Keywords
Cite
@article{arxiv.1611.02271,
title = {A Lax pair of the discrete Euler top in terms of quaternions},
author = {Kinji Kimura},
journal= {arXiv preprint arXiv:1611.02271},
year = {2017}
}