| Realizations of real low-dimensional Lie algebras RO Popovych, VM Boyko, MO Nesterenko, MW Lutfullin Journal of Physics A: Mathematical and General 36 (26), 7337, 2003 | 251 | 2003 |
| Computation of invariants of Lie algebras by means of moving frames V Boyko, J Patera, R Popovych Journal of Physics A: Mathematical and General 39 (20), 5749, 2006 | 59 | 2006 |
| Enhanced group classification of nonlinear diffusion–reaction equations with gradient-dependent diffusivity S Opanasenko, V Boyko, RO Popovych Journal of Mathematical Analysis and Applications 484 (1), 123739, 2020 | 34 | 2020 |
| Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients VM Boyko, RO Popovych, NM Shapoval Journal of Mathematical Analysis and Applications 397 (1), 434-440, 2013 | 33 | 2013 |
| Singular reduction modules of differential equations VM Boyko, M Kunzinger, RO Popovych Journal of Mathematical Physics 57 (10), 2016 | 28 | 2016 |
| Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements V Boyko, J Patera, R Popovych Linear algebra and its applications 428 (4), 834-854, 2008 | 24 | 2008 |
| Invariants of Lie algebras with fixed structure of nilradicals V Boyko, J Patera, R Popovych Journal of Physics A: Mathematical and Theoretical 40 (1), 113, 2006 | 24 | 2006 |
| Nonlinear Representations for Poincaré and Galilei algebras and nonlinear equations for electromagnetic fields WI Fushchych, IM Tsyfra, VM Boyko Journal of Nonlinear Mathenatical Physics 1 (2), 210-221, 1994 | 23 | 1994 |
| On new generalizations of the Burgers and Korteweg-de Vries equations VM Boyko Proceedings of the Second International Conference “Symmetry in Nonlinear …, 1997 | 20 | 1997 |
| Equivalence groupoids of classes of linear ordinary differential equations and their group classification VM Boyko, RO Popovych, NM Shapoval arXiv:1403.6062, 13 pp., 2014 | 17* | 2014 |
| Group classification of Galilei-invariant higher-orders equations VM Boyko, VO Popovych Proceedings of Institute of Mathematics of NAS of Ukraine 36, 45-50, 2001 | 17* | 2001 |
| Realizations of Lie algebras on the line and the new group classification of (1+ 1)-dimensional generalized nonlinear Klein–Gordon equations VM Boyko, OV Lokaziuk, RO Popovych Analysis and Mathematical Physics 11 (3), 127, 2021 | 14 | 2021 |
| Invariants of triangular Lie algebras V Boyko, J Patera, R Popovych Journal of Physics A: Mathematical and Theoretical 40 (27), 7557, 2007 | 14 | 2007 |
| Classification of reduction operators and exact solutions of variable coefficient Newell–Whitehead–Segel equations O Vaneeva, V Boyko, A Zhalij, C Sophocleous Journal of Mathematical Analysis and Applications 474 (1), 264-275, 2019 | 13 | 2019 |
| Differential invariants and application to Riccati-type systems R Popovych, V Boyko arXiv preprint math-ph/0112057, 2001 | 13 | 2001 |
| Admissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations VM Boyko, OV Lokaziuk, RO Popovych Journal of Mathematical Analysis and Applications 539 (2), 128543, 2024 | 12 | 2024 |
| Nonlocal symmetry and integrable classes of Abel equation VM Boyko Proceedings of the Fifth International Conference Symmetry in Nonlinear …, 2004 | 11 | 2004 |
| Symmetry and some integrable cases of Abel’s equation of the second kind IV Revenko, VM Boyko Dopovidi of NAS of Ukraine, 16-18, 1995 | 11* | 1995 |
| Invariants of triangular Lie algebras with one nil-independent diagonal element V Boyko, J Patera, R Popovych Journal of Physics A: Mathematical and Theoretical 40 (32), 9783, 2007 | 10 | 2007 |
| Galilei-invariant higher-order equations of Burgers and Korteweg-de Vries types WI Fushchych, VM Boyko Ukrainian Mathematical Journal 48 (12), 1799-1814, 1996 | 10* | 1996 |
Roman O. PopovychSilesian University in Opava, Czech Republic; Institute of Mathematics, NAS of UkraineVerified email at math.slu.cz