Sophocleous, Christodoulos; Wiltshire, Ron J. On linearizing systems of diffusion equations. (English) Zbl 1092.35501 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 004, 11 p. (2006). Summary: We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can be linearized. In particular we use the equivalence transformations of the second generation potential system to derive forms of this system that can be linearized. In turn, these transformations lead to nonlocal mappings that linearize the original system. Cited in 1 Document MSC: 35A30 Geometric theory, characteristics, transformations in context of PDEs 35K57 Reaction-diffusion equations 92B05 General biology and biomathematics 35A22 Transform methods (e.g., integral transforms) applied to PDEs Keywords:diffusion equations; equivalence transformations; linearization PDFBibTeX XMLCite \textit{C. Sophocleous} and \textit{R. J. Wiltshire}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 004, 11 p. (2006; Zbl 1092.35501) Full Text: DOI arXiv EuDML EMIS