The solution to the generalized Kolmogorov-Petrovskiy-Piskunov (GKPP) equation is shown to have a contrasting structure. Contrasting structures (CSs) are characterized by the existence of wide areas with a small field gradient separated by narrow internal transition layers (ITLs) with a large field gradient. The ITLs in an inhomogeneous medium are shown to drift and the drift velocity is determined. The CS drift velocity for the GKPP equation is compared with a simpler model of the reaction-advection-diffusion equation.
Department of Physics, Moscow State University, Moscow, 119991, Russia
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