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

• We consider iodate-arsenous-acid reaction of mixed order.
• We study the existence and nonexistence of travelling waves.
• Sharp explicit bounds are derived for existence of travelling waves.
• We give the numerical simulations to illustrate our main results.

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)c∗(D,E) and c∗(D,E)c∗(D,E) are derived such that there is a unique travelling wave of every speed c⩾c∗(D,E)c⩾c∗(D,E) and there does not exist any travelling wave of speed c