Reply to "Comment" by A. V. Tsiganov

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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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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