Running tails as codimension two quasi-solitons in excitation taxis waves with negative refractoriness

M.A. Tsyganov, G.R. Ivanitsky and V.N. Biktashev

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2271-2276

Abstract: We describe a new type of wave phenomena observed in reaction-taxis systems of equations. This is “running tail”, a localized stable perturbation steadily moving laterally along the back of a plane wave. This phenomenon is related to “negative refractoriness”, a property observed in some excitable systems with cross-diffusion instead of usual diffusion. We suggest a simple mechanism of such running tails for the Keller–Segel model describing chemotaxis of bacteria on the nutrient substrate. We also demonstrate that collision of running tails may happen by “quasi-soliton” and “half-soliton” scenarios.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2271-2276

DOI: 10.1016/j.chaos.2007.10.014

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