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 | 33 | 2009 |
Geometry and topology of coadjoint orbits of semisimple Lie groups J Bernatska, P Holod Proceedings of the Ninth International Conference on Geometry, Integrability …, 2008 | 28 | 2008 |
Sato Grassmannian and degenerate sigma function J Bernatska, V Enolski, A Nakayashiki Communications in Mathematical Physics 374 (2), 627-660, 2020 | 10 | 2020 |
General derivative Thomae formula for singular half-periods J Bernatska Letters in Mathematical Physics 110 (11), 2983-3014, 2020 | 6 | 2020 |
On degenerate Sigma-Functions in genus 2 J Bernatska, D Leykin Glasgow Mathematical Journal 61 (1), 169-193, 2019 | 6 | 2019 |
On separation of variables for integrable equations of soliton type J Bernatska, P Holod Journal of Nonlinear Mathematical Physics 14 (3), 353-374, 2007 | 4 | 2007 |
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 | 3 | 2009 |
On regularization of second kind integrals J Bernatska, D Leykin SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14, 074, 2018 | 2 | 2018 |
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 | 2 | 2015 |
Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems J Bernatska, P Holod Journal of Geometry and Symmetry in Physics 29, 39-51, 2013 | 2 | 2013 |
Reconstruction of Hamiltonians from given time evolutions J Bernatska, A Messina Physica Scripta 85 (1), 015001, 2011 | 2 | 2011 |
Canonic coordinates of soliton type nonlinear equations in finite gap sector JN Bernatska, PI Holod Naukovi Zapysky NaUKMA 19, 31-42, 2001 | 2 | 2001 |
SU(3) magnet: finite-gap integration on the lowest genus curve J Bernatska, P Holod Journal of Physics: Conference Series 482 (1), 012004, 2014 | 1 | 2014 |
Канонічні координати в скінченнозонному секторі нелінійних рівнянь солітонного типу Ю Бернацька, П Голод | 1 | 2001 |
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 | 1 | 2000 |
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 |