Chemical-reaction model for Mexican wave

We present a chemical-reaction model to describe the Mexican wave (La Ola) in football stadia. The spectatorʹs action is described in terms of chemical reactions. The model is governed by three reaction rates k1, k2, and k3. We study the nonlinear waves on one- and two-dimensional lattices. The Mexican wave is formulated as a clockwise forwardly propagating wave. Waves are growing or disappear, depending on the values of reaction rates. In the specific case of k1=k2=k3=1, the nonlinear-wave equation produces a propagating pulse like soliton.