Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations

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

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Main Authors: Sánchez-Garduño, F, Maini, P
格式: Journal article
出版: 1997