105 citations · 664 across the 25 of their papers we have counts for
26 papers
Extended symmetry analysis of two-dimensional degenerate Burgers equation
Olena O. Vaneeva, Roman O. Popovych, Christodoulos Sophocleous
We carry out the extended symmetry analysis of a two-dimensional degenerate Burgers equation. Its complete point-symmetry group is found using the algebraic method, and all its gen…
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…
Enhanced group classification of Benjamin-Bona-Mahony-Burgers equations
Olena Vaneeva, Severin Pošta, Christodoulos Sophocleous
A class of the Benjamin-Bona-Mahony-Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformat…
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 analysis of Benjamin-Bona-Mahony equations with time dependent coefficients
Olena Vaneeva, Roman Popovych, Christodoulos Sophocleous
Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry e…