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

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

2010-09-02

arxiv.org/abs/1009.0351v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

We discuss bi-Hamiltonian structure for the Bogoyavlensky system on $so(4)$
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.

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