105 citations · 664 across the 25 of their papers we have counts for
16 papers · 1 filter
Classification of reduction operators and exact solutions of variable coefficient Newell-Whitehead-Segel equations
Olena Vaneeva, Vyacheslav Boyko, Alexander Zhalij +1
A class of the Newell-Whitehead-Segel equations (also known as generalized Fisher equations and Newell-Whitehead equations) is studied with Lie and "nonclassical" symmetry points o…
Enhanced symmetry analysis of two-dimensional Burgers system
Stavros Kontogiorgis, Roman O. Popovych, Christodoulos Sophocleous
We carry out enhanced symmetry analysis of a two-dimensional Burgers system. The complete point symmetry group of this system is found using an enhanced version of the algebraic me…
Group analysis of a class of nonlinear Kolmogorov equations
Olena Vaneeva, Yuri Karadzhov, Christodoulos Sophocleous
A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The comple…
Group classification of variable coefficient K(m,n) equations
Kyriakos Charalambous, Olena Vaneeva, Christodoulos Sophocleous
Lie symmetries of K(m,n) equations with time-dependent coefficients are classified. Group classification is presented up to widest possible equivalence groups, the usual equivalenc…
Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries
O. O. Vaneeva, N. C. Papanicolaou, M. A. Christou +1
The exhaustive group classification of a class of variable coefficient generalized KdV equations is presented, which completes and enhances results existing in the literature. Lie…
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…