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math-ph2019
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…
math-ph2019
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…
math-ph2018
Enhanced group classification of nonlinear diffusion-reaction equations with gradient-dependent diffusion
Stanislav Opanasenko, Vyacheslav Boyko, Roman O. Popovych
We carry out the enhanced group classification of a class of (1+1)-dimensional nonlinear diffusion-reaction equations with gradient-dependent diffusivity using the two-step version…