Wave fronts in bistable reactions with anomalous Lévy-flight diffusion

Damián H. Zanette
Phys. Rev. E 55, 1181 – Published 1 January 1997
PDFExport Citation

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

Authors & Affiliations

Damián H. Zanette

  • Fritz Haber Institut der Max Planck Gesellschaft, Abteilung Physikalische Chemie, Faradayweg 4-6, 14195 Berlin, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 55, Iss. 1 — January 1997

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×