Asymptotic solutions of the FKN chemical wave equation

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Abstract
A new matched asymptotic expansion technique is used to obtain the approximate velocity and profile of chemical waves in the Belousov–Zaikin–Zhabotinskii (BZZ) mixture as described by Murray’s reduction of the Field–Koros–Noyes (FKN) equations. It is shown that the wave dynamics reduces, in a physically interesting limit, to the solution of a Stefan (moving boundary) problem with a Fisher nonlinearity.