Equivalence groupoids of classes of nonlinear second-order evolution equations

TitleEquivalence groupoids of classes of nonlinear second-order evolution equations
Publication TypeJournal Article
Year of Publication2019
AuthorsVaneeva, OO
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published05/2019

We study transformational properties of the general class of (1+1)-dimensional nonlinear second-order evolution equations. The chain of nested normalized subclasses of this class is constructed. The equivalence groupoids of the respective normalized subclasses are found. For two subclasses that are of interest for applications, but not normalized, the equivalence groups are derived.

Keywordsadmissible transformations, equivalence group, equivalence groupoid, evolution equations, reaction– diffusion–convection equations

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