Interacting Pulses in Three-Component Reaction-Diffusion Systems on Two-Dimensional Domains

Abstract

We present a three-component reaction-diffusion system capable to support an arbitrary number of interacting traveling pulses in two spatial dimensions. Whereas a global coupling added to a two-component system is able to stabilize a single pulse, a fast and strongly diffusive third component can be used to stabilize multipulse solutions. We study two-pulse scattering including extinction and present a pulse generation process leading to a coherently propagating array.