Equivalence groupoids of classes of nonlinear second-order evolution equations
DOI:
https://doi.org/10.15407/dopovidi2019.05.003Keywords:
admissible transformations, equivalence group, equivalence groupoid, evolution equations, reaction– diffusion–convection equationsAbstract
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.
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