Article

Ukrainian Mathematical Journal

, Volume 59, Issue 3, pp 439-458

First online:

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix

  • A. G. NikitinAffiliated withInstitute of Mathematics, Ukrainian Academy of Sciences

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We complete the group classification of systems of two coupled nonlinear reaction-diffusion equations with general diffusion matrix begun in author’s previous works. Namely, all nonequivalent equations with triangular diffusion matrix are classified. In addition, we describe symmetries of diffusion systems with nilpotent diffusion matrix and additional terms with first-order derivatives.