Crooks, Elaine C. M.; Grinfeld, Michael Minimal travelling wave speed and explicit solutions in monostable reaction-diffusion equations. (English) Zbl 1474.35174 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 79, 9 p. (2020). Summary: We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equation. Cited in 3 Documents MSC: 35C07 Traveling wave solutions 35K55 Nonlinear parabolic equations 35K91 Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian Keywords:monostable reaction-diffusion equations; travelling waves; variational principles PDFBibTeX XMLCite \textit{E. C. M. Crooks} and \textit{M. Grinfeld}, Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 79, 9 p. (2020; Zbl 1474.35174) Full Text: DOI arXiv