105 citations · 755 across the 31 of their papers we have counts for
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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…
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…
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…
Realizations of Galilei algebras
Maryna Nesterenko, Severin Posta, Olena Vaneeva
All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by I. Shirokov. The varieties of the…