Ultrafast traveling spike autosolitons in reaction-diffusion systems

V. V. Osipov, C. B. Muratov

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We have discovered a fundamentally new type of traveling wave solutions in reaction-diffusion systems-a traveling spike autosoliton. Using the proposed asymptotic method and the results of the numerical simulations, we investigated the shape of this autosoliton and the dependence of its basic characteristics on the system's parameters for the Brusselator. We have found that this autosoliton may have very large amplitude and velocity, and that its shape is in detailed qualitative agreement with that of the traveling pulses observed in the nerve tissue and in certain chemical reactions.

Original languageEnglish (US)
Pages (from-to)338-341
Number of pages4
JournalPhysical Review Letters
Issue number2
StatePublished - 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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