23 citations · 39 across the 9 of their papers we have counts for
4 papers · 1 filter
Orbit Approach to Separation of Variables in sl(4)-Related Integrable Systems
Julia Bernatska
Separation of variables by means of the orbit method is implemented to integrable systems on coadjoint orbits in an loop algebra. This is a development and a kin…
SU(3) magnet: finite-gap integration on the lowest genus curve
Julia Bernatska, Petro Holod
We consider the integrable system of isotropic SU(3) Landau-Lifshits equation as a Hamiltonian system on a coadjoint orbit of the SU(3) loop group. We connect the mentioned equatio…
Orbit Approach to Separation of Variables in sl(3)-Related Integrable Systems
Julia Bernatska, Petro Holod
Using the orbit method we attempt to reveal geometric and algebraic meaning of separation of variables for the integrable systems on coadjoint orbits in an loop…
On Separation of Variables for Integrable Equations of Soliton Type
Julia Bernatska, Petro Holod
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra .…