Abstract
Some reaction-diffusion equations which model the nerve axon are known to support a traveling wave with a solitary pulse. Conditions which previously established the existence of solutions with two pulses are here used to show the existence of solutions with n pulses for any n2. Provided are extensive motivating geometric arguments as well as the analytic results and explicitly computed solutions for the piecewise linear FitzHugh-Nagumo equations.
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© 1983 Springer-Verlag Berlin Heidelberg
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Feroe, J.A. (1983). Traveling Waves with Finitely Many Pulses in a Nerve Equation. In: Hodgson, J.P.E. (eds) Oscillations in Mathematical Biology. Lecture Notes in Biomathematics, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46480-5_4
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DOI: https://doi.org/10.1007/978-3-642-46480-5_4
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