8 citations · 13 across the 6 of their papers we have counts for
6 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…
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…
Group classification of nonlinear wave equations
V. I. Lagno, R. Z. Zhdanov, O. Magda
We perform complete group classification of the general class of quasi linear wave equations in two variables. This class may be seen as a broad generalization of the nonlinear d'A…
The group classification of one class of nonlinear wave equations
Victor I. Lahno, Olena V. Magda
The problem of group classification of one class of quasilinear equations of hyperbolic type with two independent variables has been solved completely.
Invariance of the quasilinear equations of hiperbolic type with respect to the three-parametric Lie algebras
Olena Magda
We have solved completely the problem of the description of quasi-linear hyperbolic differential equations in two independent variables that are invariant under three-parameter Lie…
The Structure of Lie Algebras and the Classification Problem for Partial Differential Equations
P. Basarab-Horwath, V. Lahno, R. Zhdanov
The present paper solves completely the problem of the group classification of nonlinear heat-conductivity equations of the form\ . We…