23 citations · 39 across the 9 of their papers we have counts for
11 papers
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…
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…
Resonance in a driven two-level system: analytical results without the rotating wave approximation
Yu. V. Bezvershenko, P. I. Holod
We consider the problem of two-level system dynamics induced by the time-dependent field B={a(t)cosωt,a(t)sinωt,ω_0}, with a(t) \sim cn(νt,k). The problem is exactly analytically s…
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 .…