23 citations · 54 across the 19 of their papers we have counts for
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nlin.SI2013
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…
nlin.SI2013★ 2 cited
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…
math-ph2013
Harmonic analysis on Lagrangian manifolds of integrable Hamiltonian systems
Julia Bernatska, Petro Holod
For an integrable Hamiltonian system we construct a representation of the phase space symmetry algebra over the space of functions on a Lagrangian manifold. The representation is a…