26 citations · 103 across the 9 of their papers we have counts for
3 papers · 1 filter
Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations
Stanislav Opanasenko, Alexander Bihlo, Roman O. Popovych
We study admissible transformations and Lie symmetries for a class of variable-coefficient Burgers equations. We combine the advanced methods of splitting into normalized subclasse…
Equivalence groupoid of a class of general Burgers-Korteweg-de Vries equations with space-dependent coefficients
Stanislav Opanasenko
We describe the equivalence groupoid of the class of general Burgers - Korteweg - de Vries equations with space-dependent coefficients. This class is shown to reduce by a family of…
Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model
Stanislav Opanasenko, Alexander Bihlo, Roman O. Popovych +1
We study the hydrodynamic-type system of differential equations modeling isothermal no-slip drift flux. Using the facts that the system is partially coupled and its subsystem reduc…