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arXiv · 1905.02087

Existence of the solitary wave solutions supported by the hyperbolic modification of the FitzHugh-Nagumo system

Aleksandra Gawlik·Vsevolod Vladimirov·Sergii Skurativskyi
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Abstract

We study a system of nonlinear differential equations simulating transport phenomena in active media. The model we are interested in is a generalization of the celebrated FitzHugh-Nagumo system, describing the nerve impulse propagation in axon. The modeling system is shown to possesses soliton-like solutions under certain restrictions on the parameters. The results of theoretical studies are backed by the direct numerical simulation.

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Aleksandra Gawlik, Vsevolod Vladimirov, Sergii Skurativskyi. 2019-04-26. Existence of the solitary wave solutions supported by the hyperbolic modification of the FitzHugh-Nagumo system. https://arxiv.org/abs/1905.02087

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