Universitetskaya nab. 7–9, St.Petersburg, 199034 Russia
St. Petersburg State University
Khudobakhshov V. A., Sozonov A. P.
Separation of variables for some generalisation of the Kowalevski top
2013, Vol. 9, No. 2, pp. 247-255
One integrable deformation of the Kowalevski top is studied in framework of the bi-hamiltonian geometry. The main result is the calculation of the variables of separation and of the corresponding quadratures in differential and integral forms.
Khudobakhshov V. A., Tsiganov A. V.
On quadratures of integrable systems on a sphere with higher degree integrals of motion
2011, Vol. 7, No. 1, pp. 53-74
New variables of separation for few integrable systems on the two-dimensional sphere with higher order integrals of motion are considered in detail.We explicitly describe canonical transformations of initial physical variables to the variables of separation and vice versa, calculate the corresponding quadratures and discuss some possible integrable deformations of initial systems.