105 citations · 664 across the 25 of their papers we have counts for
5 papers · 1 filter
Group Analysis of Variable Coefficient Diffusion-Convection Equations. IV. Potential Symmetries
N. M. Ivanova, R. O. Popovych, C. Sophocleous
This paper completes investigation of symmetry properties of nonlinear variable coefficient diffusion-convection equations of the form . Potent…
Group Analysis of Variable Coefficient Diffusion--Convection Equations. III. Conservation Laws
N. M. Ivanova, R. O. Popovych, C. Sophocleous
The notions of generating sets of conservation laws of systems of differential equations with respect to symmetry groups and equivalence groups are introduced and applied. This all…
Group Analysis of Variable Coefficient Diffusion-Convection Equations. II. Contractions and Exact Solutions
N. M. Ivanova, R. O. Popovych, C. Sophocleous
This is the second part of the series of papers on symmetry properties of a class of variable coefficient (1+1)-dimensional nonlinear diffusion-convection equations of general form…
Group Analysis of Variable Coefficient Diffusion-Convection Equations. I. Enhanced Group Classification
N. M. Ivanova, R. O. Popovych, C. Sophocleous
We discuss the classical statement of group classification problem and some its extensions in the general case. After that, we carry out the complete extended group classification…
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…