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Vyacheslav Boyko
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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
2312003
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
582006
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
342013
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
302020
Singular reduction modules of differential equations
VM Boyko, M Kunzinger, RO Popovych
Journal of Mathematical Physics 57 (10), 2016
242016
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
242008
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
242006
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
231994
On new generalizations of the Burgers and Korteweg-de Vries equations
VM Boyko
Proceedings of the Second International Conference “Symmetry in Nonlinear …, 1997
191997
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
16*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
15*2001
Invariants of triangular Lie algebras
V Boyko, J Patera, R Popovych
Journal of Physics A: Mathematical and Theoretical 40 (27), 7557, 2007
132007
Differential invariants and application to Riccati-type systems
R Popovych, V Boyko
arXiv preprint math-ph/0112057, 2001
132001
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
112019
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
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
102021
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
92007
Nonlocal symmetry and integrable classes of Abel equation
VM Boyko
Proceedings of the Fifth International Conference Symmetry in Nonlinear …, 2004
92004
Continuity equation in nonlinear quantum mechanics and the Galilei relativity principle
W Fushchych, V Boyko
Journal of Nonlinear Mathematical Physics 4 (1-2), 124-128, 1997
91997
Galilei-invariant higher-order equations of Burgers and Korteweg-de Vries types
WI Fushchych, VM Boyko
Ukrainian Mathematical Journal 48 (12), 1799-1814, 1996
9*1996
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Articles 1–20