Wave fronts in bistable reactions with anomalous Lévy-flight diffusion

Zanette, Damián H.

doi:10.1103/PhysRevE.55.1181

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Wave fronts in bistable reactions with anomalous Lévy-flight diffusion

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Zanette, Damián H.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Zanette, D. H. (1997). Wave fronts in bistable reactions with anomalous Lévy-flight diffusion. Physical Review E, 55(1), 1181-1184. doi:10.1103/PhysRevE.55.1181.

Cite as: https://hdl.handle.net/21.11116/0000-0008-B656-A

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.