105 citations · 755 across the 31 of their papers we have counts for
32 papers
Extended group analysis and conservation laws of a class of variable coefficient generalized Kawahara equations
Olena Vaneeva, Alexander Zhalij, Olena Magda +1
We review and extend the results on the group analysis of a class of generalized Kawahara equations with time-dependent coefficients. First, we provide an overview of the existing…
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations
Olena O. Vaneeva, Alexander Bihlo, Roman O. Popovych
Enhancing and essentially generalizing previous results on a class of (1+1)-dimensional nonlinear wave and elliptic equations, we apply several new techniques to classify admissibl…
Equivalence groupoid and enhanced group classification of a class of generalized Kawahara equations
Olena Vaneeva, Olena Magda, Alexander Zhalij
Transformation properties of a class of generalized Kawahara equations with time-dependent coefficients are studied. We construct the equivalence groupoid of the class and prove th…
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 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…