Abstract
A pulse is a traveling structure whose profile approaches the same limit at ±«. Thus, as distinguished from a front, the reacting medium returns to its original state after a pulse traverses it. Signals propagating along a nerve axon are very successfully modeled by pulse solutions of the Hodgkin-Huxley (HH) or FitzHugh-Nagumo (FHN) systems of reaction-diffusion equations, and this, in fact, is the context within which almost all the work on reaction-diffusion pulses has been performed. Excellent reviews of this work are available (Rinzel 1978a; Scott 1975, 1977; Hastings 1975; Troy 1978a; H. Cohen 1971), and so my comments here will be very brief.
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