Generalized Kowalevski top: new integrable cases on $e(3)$ and $so(4)$

Details Generalized Kowalevski top: new integrable cases on $e(3)$ and $so(4)$ Generalized Kowalevski top: new integrable cases on $e(3)$ and $so(4)$

2001-10-10

arxiv.org/abs/nlin/0110022v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages

Scientific paper

A three-parameter family of integrable quadratic Hamiltonians on $e(3)$ and
$so(4)$ is presented. When one of the parameters vanishes, the Hamiltonian
coincides with the Kowalevski Hamiltonian with the girostatic term. If the
other two parameters are equal to zero then the Hamiltonian reduces to a new
integrable case of the Kirchhoff equations found recently by the author.

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