Dragging bistable fronts

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Pages (from-to)451-455
Number of pages5
JournalPhysica Scripta
Issue number6
StatePublished - Jun 2004


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