143 citations · 2.7k across the 108 of their papers we have counts for
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math-ph2005★ 1 cited
Realizations of real semisimple low-dimensional Lie algebras
Maryna Nesterenko, Roman Popovych
A complete set of inequivalent realizations of three- and four-dimensional real unsolvable Lie algebras in vector fields on a space of an arbitrary (finite) number of variables is…
math-ph2005★ 47 cited
Potential Nonclassical Symmetries and Solutions of Fast Diffusion Equation
Roman O. Popovych, Olena O. Vaneeva, Nataliya M. Ivanova
The fast diffusion equation is investigated from the symmetry point of view in development of the paper by Gandarias [Phys. Lett. A 286 (2001) 153-160]. After s…
math-ph2005★ 20 cited
Conservation Laws of Variable Coefficient Diffusion-Convection Equations
N. M. Ivanova, R. O. Popovych, C. Sophocleous
We study local conservation laws of variable coefficient diffusion-convection equations of the form . The main tool of our investigation is the…