An Application of Equivalence Transformations to Reaction Diffusion Equations

Abstract

In this paper, we consider a quite general class of advection reaction diffusion systems. By using an equivalence generator, derived in a previous paper, the authors apply a projection theorem to determine some special forms of the constitutive functions that allow the extension by one of the two-dimensional principal Lie algebra. As an example, a special case is discussed at the end of the paper.

Keywords

• equivalence transformations
• groups of transformations
• classical symmetries
• biomathematical models