Abstract
Shape-preserving traveling solutions of an equation describing the interplay of bistable reaction processes and Lévy-flight anomalous diffusion are obtained and analyzed. The velocity of these wave fronts is determined as a function of the reaction parameters and the anomalous-diffusion exponent, and their shape is characterized in terms of simple quantities.
- Received 29 July 1996
DOI:https://doi.org/10.1103/PhysRevE.55.1181
©1997 American Physical Society