Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-12-18
Nonlinear Sciences
Exactly Solvable and Integrable Systems
LaTex, 6 pages
Scientific paper
For the Goryachev case we obtain, in the explicit form, the Abel-Jacobi
equations with the polynomial of degree six under the radical. We choose the
parameters of two families of linear generators of a one sheet hyperboloid to
be the separation variables. These variables, as well as the shifted separation
variables in the original work of S. Kowalevski, do not commute.
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