Existence of the solitary wave solutions supported by the hyperbolic modification of the FitzHugh-Nagumo system
| Autor: | Gawlik, Aleksandra, Vladimirov, Vsevolod, Skurativskyi, Sergii |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 22 pages, 7 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|