The propagation of planar reaction-diffusion waves in the isothermal autocatalytic system A + mB → (m + 1)B, rate kabm, is considered. Attention is paid to the case when the diffusion coefficient of reactant A is much less than that of the autocatalyst; the case when A is completely immobilized is discussed in detail. Permanent-form travelling waves are initiated and their structure is treated. It is found that for sufficiently large values of m this steady wave structure becomes unstable to longitudinal disturbances and an oscillatory wave structure develops. The structure of this propagating oscillatory reaction-diffusion front is also discussed.
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METCALF et al. (1994) studied this question.
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