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Julia Bernatska
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Cited by
Cited by
Year
A generalized Landau–Lifshitz equation for an isotropic SU(3) magnet
J Bernatska, P Holod
Journal of Physics A: Mathematical and Theoretical 42 (7), 075401, 2009
332009
Geometry and topology of coadjoint orbits of semisimple Lie groups
J Bernatska, P Holod
Proceedings of the Ninth International Conference on Geometry, Integrability …, 2008
282008
Sato Grassmannian and degenerate sigma function
J Bernatska, V Enolski, A Nakayashiki
Communications in Mathematical Physics 374 (2), 627-660, 2020
102020
General derivative Thomae formula for singular half-periods
J Bernatska
Letters in Mathematical Physics 110 (11), 2983-3014, 2020
62020
On degenerate Sigma-Functions in genus 2
J Bernatska, D Leykin
Glasgow Mathematical Journal 61 (1), 169-193, 2019
62019
On separation of variables for integrable equations of soliton type
J Bernatska, P Holod
Journal of Nonlinear Mathematical Physics 14 (3), 353-374, 2007
42007
Topological excitations in a two-dimensional spin system with high spin s ≥1
JN Bernatska, PI Holod
Theoretical and Mathematical Physics 160, 878-886, 2009
32009
On regularization of second kind integrals
J Bernatska, D Leykin
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14, 074, 2018
22018
Orbit Approach to Separation of Variables in sl(3)-Related Integrable Systems
J Bernatska, P Holod
Communications in Mathematical Physics 333 (2), 905-929, 2015
22015
Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems
J Bernatska, P Holod
Journal of Geometry and Symmetry in Physics 29, 39-51, 2013
22013
Reconstruction of Hamiltonians from given time evolutions
J Bernatska, A Messina
Physica Scripta 85 (1), 015001, 2011
22011
Canonic coordinates of soliton type nonlinear equations in finite gap sector
JN Bernatska, PI Holod
Naukovi Zapysky NaUKMA 19, 31-42, 2001
22001
SU(3) magnet: finite-gap integration on the lowest genus curve
J Bernatska, P Holod
Journal of Physics: Conference Series 482 (1), 012004, 2014
12014
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12001
Solving Parabolic Equation by Using the Method of Fast Convergent Iterations
V Bondarenko, P Bidyuk, J Bernatska
International Journal of Applied Mathematics and Computer Science 10 (2 …, 2000
12000
Reality conditions for the KdV equation and quasi-periodic solutions in finite phase spaces
J Bernatska
arXiv preprint arXiv:2312.10859, 2023
2023
Solution of the Jacobi inversion problem on non-hyperelliptic curves
J Bernatska, D Leykin
Letters in Mathematical Physics 113 (5), 110, 2023
2023
Solution of Mumford’s second problem on theta functions
J Bernatska, Y Kopeliovich
International Journal of Number Theory 19 (05), 1051-1073, 2023
2023
Igusa's map on modular forms vanishing on the hyperelliptic locus
J Bernatska, Y Kopeliovich
arXiv preprint arXiv:2306.14889, 2023
2023
New generalisation of Jacobi’s derivative formula
J Bernatska
The Ramanujan Journal 58 (2), 319-368, 2022
2022
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