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 | 238 | 2003 |
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 | 187 | 2004 |
Admissible transformations and normalized classes of nonlinear Schrödinger equations RO Popovych, M Kunzinger, H Eshraghi Acta applicandae mathematicae 109 (2), 315-359, 2010 | 158 | 2010 |
Enhanced group analysis and conservation laws of variable coefficient reaction–diffusion equations with power nonlinearities OO Vaneeva, AG Johnpillai, RO Popovych, C Sophocleous Journal of Mathematical Analysis and Applications 330 (2), 1363-1386, 2007 | 144 | 2007 |
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 | 119 | 2009 |
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 | 114 | 1999 |
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 | 108 | 1994 |
Contractions of low-dimensional Lie algebras M Nesterenko, R Popovych Journal of mathematical physics 47 (12), 2006 | 107 | 2006 |
Extended group analysis of variable coefficient reaction–diffusion equations with exponential nonlinearities OO Vaneeva, RO Popovych, C Sophocleous Journal of Mathematical Analysis and Applications 396 (1), 225-242, 2012 | 105 | 2012 |
Conservation laws and potential symmetries of linear parabolic equations RO Popovych, M Kunzinger, NM Ivanova Acta Applicandae Mathematicae 100, 113-185, 2008 | 91 | 2008 |
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 | 88 | 2010 |
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 | 84 | 2005 |
Symmetry preserving parameterization schemes RO Popovych, A Bihlo Journal of mathematical physics 53 (7), 2012 | 83 | 2012 |
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 | 80 | 2012 |
Physics-informed neural networks for the shallow-water equations on the sphere A Bihlo, RO Popovych Journal of Computational Physics 456, 111024, 2022 | 70 | 2022 |
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 | 68 | 1992 |
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 | 67 | 2010 |
Potential nonclassical symmetries and solutions of fast diffusion equation RO Popovych, OO Vaneeva, NM Ivanova Physics Letters A 362 (2-3), 166-173, 2007 | 66 | 2007 |
Equivalence transformations in the study of integrability OO Vaneeva, RO Popovych, C Sophocleous Physica Scripta 89 (3), 038003, 2014 | 61 | 2014 |