Multi-shocks in reaction-diffusion models

M. Arabsalmani () and A. Aghamohammadi ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 55, issue 4, 439-446

Abstract: It is shown, concerning equivalent classes, that on a one-dimensional lattice with nearest neighbour interaction, there are only four independent models possessing double-shocks. Evolution of the width of the double-shocks in different models is investigated. Double-shocks may vanish, and the final state is a state with no shock. There is a model for which at large times the average width of double-shocks will become smaller. Although there may exist stationary single-shocks in nearest neighbour reaction diffusion models, it is seen that in none of these models, there exist any stationary double-shocks. Models admitting multi-shocks are classified, and the long period behaviour of multi-shock solutions is also investigated. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 02.50.Ga Markov processes (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00069-7

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