Asymptotic solutions of the FKN chemical wave equation

摘要

A new matched asymptotic expansion technique is used to obtain the approximate velocity and profile of chemical waves in the Belousovndash;Zaikinndash;Zhabotinskii (BZZ) mixture as described by Murrayrsquo;s reduction of the Fieldndash;Korosndash;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.