Drifting solitary waves in a reaction-diffusion medium with differential advection

Arik Yochelis, Moshe Sheintuch

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A distinct propagation of solitary waves in the presence of autocatalysis, diffusion, and symmetry-breaking (differential) advection, is being studied. These pulses emerge at lower reaction rates of the autocatalytic activator, i.e., when the advective flow overcomes the fast excitation and induces a fluid type "drifting" behavior, making the phenomenon unique to reaction-diffusion-advection class systems. Using the spatial dynamics analysis of a canonical model, we present the properties and the organization of such drifting pulses. The insights underly a general understanding of localized transport in simple reaction-diffusion-advection models and thus provide a background to potential chemical and biological applications.

Original languageEnglish
Article number025203
JournalPhysical Review E
Volume81
Issue number2
DOIs
StatePublished - 8 Feb 2010
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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