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Multi-shocks in reaction-diffusion models

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  • M. Arabsalmani
  • A. Aghamohammadi

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

Suggested Citation

  • M. Arabsalmani & A. Aghamohammadi, 2007. "Multi-shocks in reaction-diffusion models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(4), pages 439-446, February.
    • Handle: RePEc:spr:eurphb:v:55:y:2007:i:4:p:439-446
    DOI: 10.1140/epjb/e2007-00069-7
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    Keywords

    02.50.Ga Markov processes;

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