Kruglikov, Boris; Lychagina, Olga Finite dimensional dynamics for Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 1116.35064 Lobachevskii J. Math. 19, 13-28 (2005). The authors construct finite-dimensional submanifolds of the solution space for a reaction diffusion equation of Kolmogorov-Petrovsky-Piskunov type. In particular, the corresponding reduced evolutionary dynamics is described and exact solutions are found. Reviewer: Christian Pötzsche (München) Cited in 2 Documents MSC: 35K57 Reaction-diffusion equations 35K55 Nonlinear parabolic equations 37L20 Symmetries of infinite-dimensional dissipative dynamical systems 37L05 General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations 35B42 Inertial manifolds 35B41 Attractors Keywords:reduced evolutionary dynamics; symmetry; compatibility; exact solutions PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{O. Lychagina}, Lobachevskii J. Math. 19, 13--28 (2005; Zbl 1116.35064) Full Text: EMIS EuDML