Group analysis of a class of reaction-diffusion equations with variable coefficients
DOI:
https://doi.org/10.15407/dopovidi2014.10.012Keywords:
reaction-diffusion equations, variable coefficientsAbstract
The group analysis of (1+1)-dimensional quasilinear reaction-diffusion equations with variable coefficients is carried out. An equivalence group of the whole class and a wider equivalence group that corresponds to the subclass with exponential nonlinearity are found. Lie symmetries are classified up to the derived equivalence transformations. It is shown that the dimensions of maximal Lie invariance algebras of the equations under study are not greater than four.
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