English

On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$

Exactly Solvable and Integrable Systems 2015-05-19 v1

Abstract

We discuss bi-Hamiltonian structure for the Bogoyavlensky system on so(4)so(4) with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in detail.

Keywords

Cite

@article{arxiv.1009.0351,
  title  = {On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$},
  author = {A. V. Vershilov},
  journal= {arXiv preprint arXiv:1009.0351},
  year   = {2015}
}