37 citations · 37 across the 1 of their papers we have counts for
6 papers
Enhanced group classification of Gardner equations with time-dependent coefficients
Olena Vaneeva, Oksana Kuriksha, Christodoulos Sophocleous
We classify the Lie symmetries of variable coefficient Gardner equations (called also the combined KdV-mKdV equations). In contrast to the particular results presented in Molati an…
Group analysis of generalized fifth-order Korteweg-de Vries equations with time-dependent coefficients
Oksana Kuriksha, Severin Pošta, Olena Vaneeva
We perform enhanced Lie symmetry analysis of generalized fifth-order Korteweg-de Vries equations with time-dependent coefficients. The corresponding similarity reductions are class…
Group analysis of variable coefficient generalized fifth-order KdV equations
Oksana Kuriksha, Severin Pošta, Olena Vaneeva
We carry out group analysis of a class of generalized fifth-order Korteweg-de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and simil…
Group classification of variable coefficient generalized Kawahara equations
Oksana Kuriksha, Severin Pošta, Olena Vaneeva
An exhaustive group classification of variable coefficient generalized Kawahara equations is carried out. As a result, we derive new variable coefficient nonlinear models admitting…
Symmetries and solutions of field equations of axion electrodynamics
A. G. Nikitin, Oksana Kuriksha
The group classification of models of axion electrodynamics with arbitrary self interaction of axionic field is carried out. It is shown that extensions of the basic Poincaré invar…
Invariant solutions for equations of axion electrodynamics
Oksana Kuriksha, A. G. Nikitin
Using the three-dimensional subalgebras of the Lie algebra of Poincaré group an extended class of exact solutions for the field equations of the axion electrodynamics is obtained.…