Phys. Rev. Lett. 75, 338–341 (1995)Ultrafast Traveling Spike Autosolitons in Reaction-Diffusion SystemsReceived 13 July 1994; published in the issue dated 10 July 1995 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. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.338
DOI:
10.1103/PhysRevLett.75.338
PACS:
82.20.Mj, 03.40.Kf, 05.70.Ln
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