109 citations · 372 across the 12 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…
Exact Solutions of Diffusion-Convection Equations
Nataliya M. Ivanova
In the presented paper known (up to the beginning of 2008) Lie- and non-Lie exact solutions of different -dimensional diffusion-convection equations of form $f(x)u_t=(g(x)A(…
Conservation Laws and Potential Symmetries of Linear Parabolic Equations
Roman O. Popovych, Michael Kunzinger, Nataliya M. Ivanova
We carry out an extensive investigation of conservation laws and potential symmetries for the class of linear (1+1)-dimensional second-order parabolic equations. The group classifi…