Abstract
This paper reports a type of laws which governs action potential of nervous impulses, and it is discussed by general form —nonlinear dispersive process. We find that the nervous wave is a slowly varying amplitude solitary wave in the small dispersive case. We prove that the solitary wave is not generated in the ordinary dispersion, but a travelling wave with varying amplitudes may be obtained. The stability of various possible action potentials and bifurcation in overdamped case are also discussed in this paper.
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Communicated by Yang Gui-tong.
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Wen-liang, T. One type of solutions of conduction of nervous pulses and the stability of action potential. Appl Math Mech 4, 117–126 (1983). https://doi.org/10.1007/BF01896719
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DOI: https://doi.org/10.1007/BF01896719