83 citations · 158 across the 6 of their papers we have counts for
5 papers · 1 filter
Conservation laws and hierarchies of potential symmetries for certain diffusion equations
N. M. Ivanova, R. O. Popovych, C. Sophocleous +1
We show that the so-called hidden potential symmetries considered in a recent paper [Gandarias M., Physica A, 2008, V.387, 2234-2242] are ordinary potential symmetries that can be…
Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source
O. O. Vaneeva, R. O. Popovych, C. Sophocleous
A new approach to group classification problems and more general investigations on transformational properties of classes of differential equations is proposed. It is based on mapp…
Exact Solutions of a Remarkable Fin Equation
R. O. Popovych, C. Sophocleous, O. O. Vaneeva
A model "remarkable" fin equation is singled out from a class of nonlinear (1+1)-dimensional fin equations. For this equation a number of exact solutions are constructed by means o…
Group Analysis of Nonlinear Fin Equations
O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych +1
Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. Th…
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…