22 citations · 67 across the 6 of their papers we have counts for
6 papers
Equivalence groupoid of generalized potential Burgers equations
Oleksandr A. Pocheketa
We find the equivalence groupoid of a~class of -dimensional second-order evolution equations, which are called generalized potential Burgers equations. This class is related…
Normalized classes of generalized Burgers equations
Oleksandr A. Pocheketa
A hierarchy of normalized classes of generalized Burgers equations is studied. The equivalence groupoids of these classes are computed. The equivalence groupoids of classes of line…
Extended symmetry analysis of generalized Burgers equations
Oleksandr A. Pocheketa, Roman O. Popovych
Using advanced classification techniques, we carry out the extended symmetry analysis of the class of generalized Burgers equations of the form . This enha…
Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping
Oleksandr A. Pocheketa, Roman O. Popovych, Olena O. Vaneeva
Admissible point transformations between Burgers equations with linear damping and time-dependent coefficients are described and used in order to exhaustively classify Lie symmetri…
Reduction operators of Burgers equation
Oleksandr A. Pocheketa, Roman O. Popovych
The solution of the problem on reduction operators and nonclassical reductions of the Burgers equation is systematically treated and completed. A new proof of the theorem on the sp…
Reduction operators and exact solutions of generalized Burgers equations
Oleksandr A. Pocheketa, Roman O. Popovych
Reduction operators of generalized Burgers equations are studied. A connection between these equations and potential fast diffusion equations with power nonlinearity -1 via reducti…