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Roman O. Popovych
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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
2372003
New results on group classification of nonlinear diffusion-convection equations
RO Popovych, NM Ivanova
Journal of Physics A: Mathematical and General 37 (30), 7547, 2004
1872004
Admissible transformations and normalized classes of nonlinear Schrödinger equations
RO Popovych, M Kunzinger, H Eshraghi
Acta applicandae mathematicae 109 (2), 315-359, 2010
1582010
Enhanced group analysis and conservation laws of variable coefficient reactiondiffusion equations with power nonlinearities
OO Vaneeva, AG Johnpillai, RO Popovych, C Sophocleous
Journal of Mathematical Analysis and Applications 330 (2), 1363-1386, 2007
1432007
Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
OO Vaneeva, RO Popovych, C Sophocleous
Acta applicandae mathematicae 106, 1-46, 2009
1192009
A precise definition of reduction of partial differential equations
RZ Zhdanov, IM Tsyfra, RO Popovych
Journal of mathematical analysis and applications 238 (1), 101-123, 1999
1141999
Contractions of low-dimensional Lie algebras
M Nesterenko, R Popovych
Journal of mathematical physics 47 (12), 2006
1072006
Symmetry reduction and exact solutions of the Navier-Stokes equations. I
W Fushchych, R Popowych
Journal of nonlinear mathematical physics 1 (1), 75-113, 1994
1061994
Extended group analysis of variable coefficient reactiondiffusion equations with exponential nonlinearities
OO Vaneeva, RO Popovych, C Sophocleous
Journal of Mathematical Analysis and Applications 396 (1), 225-242, 2012
1042012
Conservation laws and potential symmetries of linear parabolic equations
RO Popovych, M Kunzinger, NM Ivanova
Acta Applicandae Mathematicae 100, 113-185, 2008
912008
Group analysis of variable coefficient diffusion-convection equations. I. Enhanced group classification
NM Ivanova, RO Popovych, C Sophocleous
Lobachevskii Journal of mathematics 31, 100-122, 2010
882010
Group classification of nonlinear Schrödinger equations
AG Nikitin, RO Popovych
Ukrainian Mathematical Journal 53, 1255-1265, 2001
88*2001
Hierarchy of conservation laws of diffusion-convection equations
RO Popovych, NM Ivanova
Journal of mathematical physics 46 (4), 2005
842005
Symmetry preserving parameterization schemes
RO Popovych, A Bihlo
Journal of mathematical physics 53 (7), 2012
832012
Complete group classification of a class of nonlinear wave equations
A Bihlo, E Dos Santos Cardoso-Bihlo, RO Popovych
Journal of mathematical physics 53 (12), 2012
802012
Q-conditional symmetry of the linear heat equation
WI Fushchych, WM Shtelen, MI Serov, RO Popovych
Proc. Acad. of Sci. Ukraine 12, 28-33, 1992
681992
More common errors in finding exact solutions of nonlinear differential equations: Part I
RO Popovych, OO Vaneeva
Communications in Nonlinear Science and Numerical Simulation 15 (12), 3887-3899, 2010
672010
Physics-informed neural networks for the shallow-water equations on the sphere
A Bihlo, RO Popovych
Journal of Computational Physics 456, 111024, 2022
652022
Potential nonclassical symmetries and solutions of fast diffusion equation
RO Popovych, OO Vaneeva, NM Ivanova
Physics Letters A 362 (2-3), 166-173, 2007
652007
Equivalence transformations in the study of integrability
OO Vaneeva, RO Popovych, C Sophocleous
Physica Scripta 89 (3), 038003, 2014
612014
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Articles 1–20