New variables of separation for particular case of the Kowalevski top

Abstract

We discuss the polynomial bi-Hamiltonian structures for the Kowalevski top in special case of zero square integral. An explicit procedure to find variables of separation and separation relations is considered in detail.

11 pages, LaTeX with Ams fonts

References in corpus (2)

• On the generalized integrable Chaplygin system
• On bi-hamiltonian geometry of the Lagrange top

Cited by in corpus (10)

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• Reduction of divisors and Kowalevski top
• Deformations of the Poisson brackets and the Kowalevski top
• On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$