Travelling waves of iodate-arsenous-acid reaction with a constant electric field

The effects of applying a constant electric field E to an iodate-arsenous-acid reaction of mixed order are considered, where the reacting species, A and B, are present. The resulting equations are studied in detail by obtaining conditions for the existence and nonexistence of travelling waves. By using a novel approach, explicit bounds c∗(D,E) and c∗(D,E) are derived such that there is a unique travelling wave of every speed c⩾c∗(D,E) and there does not exist any travelling wave of speed c<c∗(D,E), where c∗(D,E) and c∗(D,E) are two functions of constant electric field E and D, the ratio of diffusion coefficients of the species A and B. Numerical simulations of the resulting equations confirm our main results.

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