105 citations · 755 across the 31 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…
Equivalence groupoid of a class of variable coefficient Korteweg--de Vries equations
Olena Vaneeva, Severin Pošta
We classify the admissible transformations in a class of variable coefficient Korteweg--de Vries equations. As a result, full description of the structure of the equivalence groupo…
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…
Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping
Oleksandr A. Pocheketa, Roman O. Popovych, Olena O. Vaneeva
Admissible point transformations between Burgers equations with linear damping and time-dependent coefficients are described and used in order to exhaustively classify Lie symmetri…