Kaptsov, Oleg V.; Verevkin, Igor V. Differential constraints and exact solutions of nonlinear diffusion equations. (English) Zbl 1039.35054 J. Phys. A, Math. Gen. 36, No. 5, 1401-1414 (2003). Summary: The differential constraints are applied to obtain explicit solutions of nonlinear diffusion equations. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the determining equations used in the search for classical Lie symmetries. Cited in 14 Documents MSC: 35K57 Reaction-diffusion equations 35A30 Geometric theory, characteristics, transformations in context of PDEs 35C05 Solutions to PDEs in closed form 34G20 Nonlinear differential equations in abstract spaces PDFBibTeX XMLCite \textit{O. V. Kaptsov} and \textit{I. V. Verevkin}, J. Phys. A, Math. Gen. 36, No. 5, 1401--1414 (2003; Zbl 1039.35054) Full Text: DOI arXiv