Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations

In this paper we study the existence of one-dimensional travelling wave solutions u(x, t) = φ(x - ct) for the non-linear degenerate (at u = 0) reaction-diffusion equation ut = [D(u)ux]x + g(u) where g is a generalisation of the Nagumo equation arising in nerve conduction theory, as well as describin...

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Bibliographic Details
Main Authors: SanchezGarduno, F, Maini, P
Format: Journal article
Language:English
Published: 1997