Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. III. Triangular diffusion matrix

摘要

Group classification of systems of two coupled nonlinear reaction-diffusionequation with a general diffusion matrix started in papers math-ph/0411027,,math-ph/0411028 is completed in present paper where all non-equivalentequations with triangular diffusion matrix are classified. In addition, symmetries of diffusion systems with nilpotent diffusion matrixand additional first order derivative terms are described.