Nikitin, A. G. Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix. (English) Zbl 1128.35055 Ukr. Mat. Zh. 59, No. 3, 395-411 (2007) and in Ukr. Math. J. 59, No. 3, 439-458 (2007). Summary: 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 non-equivalent 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. Cited in 1 ReviewCited in 9 Documents MSC: 35K57 Reaction-diffusion equations 58J70 Invariance and symmetry properties for PDEs on manifolds 35A30 Geometric theory, characteristics, transformations in context of PDEs Keywords:nonlinear reaction-diffusion equation; nilpotent diffusion matrix; group classification PDFBibTeX XMLCite \textit{A. G. Nikitin}, Ukr. Mat. Zh. 59, No. 3, 395--411 (2007; Zbl 1128.35055) Full Text: DOI Link