Dragging bistable fronts

P. G. Kevrekidis, I. G. Kevrekidis, B. A. Malomed, H. E. Nistazakis, D. J. Frantzeskakis

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We consider the dragging of fronts in reaction-diffusion systems with bistable nonlinearity by an external drive, which may be parametric or direct. A perturbation theory is developed for the speed correction of the dragged front. The predictions are found to be in good agreement with direct simulations, apart from an initial transient. While the perturbation theory should be valid for small values of the drive's strength ε, the predictions are actually found to be quite accurate even for ε = O(1), and can quantify transitions between free and locked regimes of motion of the dragged fronts that occur at intermediate values of ε.

Original languageEnglish (US)
Pages (from-to)451-455
Number of pages5
JournalPhysica Scripta
Volume69
Issue number6
DOIs
StatePublished - Jun 1 2004

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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    Kevrekidis, P. G., Kevrekidis, I. G., Malomed, B. A., Nistazakis, H. E., & Frantzeskakis, D. J. (2004). Dragging bistable fronts. Physica Scripta, 69(6), 451-455. https://doi.org/10.1238/Physica.Regular.069a00451