Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2010-01-10
Journal of Mathematical Sciences Volume 168, Issue 6, 2010, Pages 901-911
Nonlinear Sciences
Exactly Solvable and Integrable Systems
12 pages, standard LaTeX with AMS fonts
Scientific paper
10.1007/s10958-010-0036-5
We discuss two polynomial bi-Hamiltonian structures for the generalized
integrable Chaplygin system on the sphere S^2 with an additional integral of
fourth order in momenta. An explicit procedure to find the variables of
separation, the separation relations and the transformation of the
corresponding algebraic curves of genus two is considered in detail.
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