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Minimal travelling wave speed and explicit solutions in monostable reaction-diffusion equations. (English) Zbl 1474.35174

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.

MSC:

35C07 Traveling wave solutions
35K55 Nonlinear parabolic equations
35K91 Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian
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