105 citations · 664 across the 25 of their papers we have counts for
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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…
Group analysis of Benjamin-Bona-Mahony equations with time dependent coefficients
Olena Vaneeva, Roman Popovych, Christodoulos Sophocleous
Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry e…
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…
Equivalence transformations in the study of integrability
Olena O. Vaneeva, Roman O. Popovych, Christodoulos Sophocleous
We discuss how point transformations can be used for the study of integrability, in particular, for deriving classes of integrable variable-coefficient differential equations. The…
Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
O. O. Vaneeva, R. O. Popovych, C. Sophocleous
The group classification of a class of variable coefficient reaction-diffusion equations with exponential nonlinearities is carried out up to both the equivalence generated by the…
Reduction operators of variable coefficient semilinear diffusion equations with an exponential source
O. O. Vaneeva, R. O. Popovych, C. Sophocleous
Reduction operators (called also nonclassical or -conditional symmetries) of variable coefficient semilinear reaction-diffusion equations with exponential source $f(x)u_t=(g(x)u…