Abstract:Reaction-diffusion waves in multiple spatial dimensions advance at a rate that strongly depends on the curvature of the wave fronts. These waves have important applications in many physical, ecological, and biological systems. In this work, we analyse curvature dependences of travelling fronts in a single reaction-diffusion equation with general reaction term. We derive an exact, nonperturbative curvature dependence of the speed of travelling fronts related to diffusion occurring along the wave front. We show … Show more
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