Reply to "Comment" by A. V. Tsiganov
arXiv:1112.4176
Abstract
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.
LaTex, 6 pages
References in corpus (4)
- On the generalized integrable Chaplygin system
- The separation of variables and bifurcations of first integrals in one problem of D.N.Goryachev
- Separation of variables in one partial integrable case of Goryachev
- Comment on "The separation of variables and bifurcations of first integrals in one problem of D.N.Goryachev" by Pavel E. Ryabov (Archive:1102.2588v1)