| The Majda model for combustion waves is presented, and Majda's original results establishing the existence of traveling wave solutions are summarized. After introducing a modified model analogous to the Majda model for a multi-step chemical reaction, we show valuable numerical methods for the simulation of traveling waves, and implement them for the multi-step model for both strong and weak detonations. We consider mixed exothermic-endothermic reactions, and we observe new behavior we also provide evidence that the multi-step model reduces to the original Majda model as the rate of the recombination reaction becomes large. |
