OSCILLATING WAVE-FRONTS IN ISOTHERMAL CHEMICAL-SYSTEMS WITH ARBITRARYPOWERS OF AUTOCATALYSIS

The propagation of planar reaction-diffusion waves in the isothermal a utocatalytic system A + mB --> (m + 1)B, rate kab(m), is considered. A ttention is paid to the case when the diffusion coefficient of reactan t A is much less than that of the autocatalyst; the case when A is com pletely immobilized is discussed in detail. Permanent-form travelling waves are initiated and their structure is treated. It is found that f or sufficiently large values of m this steady wave structure becomes u nstable to longitudinal disturbances and an oscillatory wave structure develops. The structure of this propagating oscillatory reaction-diff usion front is also discussed.