Skrypnyk Taras Volodymyrovych

Publications in Math-Net.Ru

1. Symmetric Separation of Variables for the Extended Clebsch and Manakov Models
   
   SIGMA, 21 (2025), 066, 19 pp.
2. The Generalized Lipkin–Meshkov–Glick Model and the Modified Algebraic Bethe Ansatz
   
   SIGMA, 18 (2022), 074, 18 pp.
3. Separation of Variables, Quasi-Trigonometric $r$-Matrices and Generalized Gaudin Models
   
   SIGMA, 17 (2021), 069, 21 pp.
4. New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains
   
   SIGMA, 16 (2020), 047, 27 pp.
5. Separation of variables in the anisotropic Shottky–Frahm model
   
   TMF, 196:3 (2018),  465–486
6. “Twisted” rational $r$-matrices and the algebraic Bethe ansatz: Applications to generalized Gaudin models, Bose–Hubbard dimers, and Jaynes–Cummings–Dicke-type models
   
   TMF, 189:1 (2016),  125–146
7. Classical double, $R$-operators, and negative flows of integrable hierarchies
   
   TMF, 172:1 (2012),  40–63
8. Classical $R$-Operators and Integrable Generalizations of Thirring Equations
   
   SIGMA, 4 (2008), 011, 19 pp.
9. Dual $R$-matrix integrability
   
   TMF, 155:1 (2008),  147–160
10. Quasigraded Lie Algebras and Modified Toda Field Equations
    
    SIGMA, 2 (2006), 043, 14 pp.
11. Quasigraded lie algebras, Kostant–Adler scheme, and integrable hierarchies
    
    TMF, 142:2 (2005),  329–345
12. Singular orbits of the co-adjoint representation of Euclidean groups
    
    Uspekhi Mat. Nauk, 55:3(333) (2000),  169–170
13. Singular orbits of the adjoint representation of the Lie groups $\operatorname{SO}(n)$
    
    Uspekhi Mat. Nauk, 51:3(309) (1996),  181–182