23 citations · 54 across the 19 of their papers we have counts for
4 papers · 1 filter
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 .…
Topological excitations in 2D spin system with high spin
Julia Bernatska, Petro Holod
We construct a class of topological excitations of a mean field in a two-dimensional spin system represented by a quantum Heisenberg model with high powers of exchange interaction.…
Ordered States and Nonlinear Large-Scale Excitations in a Plane Magnet with Spin s=1
Julia Bernatska, Petro Holod
We study ordered states and topological excitations in a quasi-two-dimensional magnet, modeled by a square lattice with spins at all sites, and the Hamiltonian with biqua…
A generalised Landau-Lifshitz equation for isotropic SU(3) magnet
Julia Bernatska, Petro Holod
In the paper we obtain equations for large-scale fluctuations of the mean field (the field of magnetization and quadrupole moments) in a magnetic system realized by a square (cubic…