Research Article

Traveling Wave Solutions for the FitzHugh-Nagumo Model

Volume: 4 Number: 2 September 17, 2026
EN TR

Traveling Wave Solutions for the FitzHugh-Nagumo Model

Abstract

In this study, it is aimed to obtain traveling wave solutions of the FitzHugh-Nagumo model, which is widely used in neuroscience. In this context, the solutions are analytically derived by employing the modified 1/G'-expansion method. Through this approach, hyperbolic-type wave solutions are obtained, demonstrating that the applied method provides an effective and reliable analytical framework for solving nonlinear partial differential equations. The dynamic behaviors of the obtained solutions are numerically investigated and visualized using three-dimensional, two-dimensional and contour plots.

Keywords

Fitzhugh-Nagumo model, modified 1/G'-expansion method, traveling wave solution.

Thanks

The author would like to express their sincere gratitude to Assoc. Prof. Asıf Yokuş, Department of Mathematics, Fırat University, for his valuable contributions, insightful comments, and support during the preparation of this study.

References

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APA
Durur, H. (2026). Traveling Wave Solutions for the FitzHugh-Nagumo Model. Journal of Studies in Advanced Technologies, 4(2), 28-36. https://doi.org/10.63063/jsat.1916554
AMA
1.Durur H. Traveling Wave Solutions for the FitzHugh-Nagumo Model. JSAT. 2026;4(2):28-36. doi:10.63063/jsat.1916554
Chicago
Durur, Hülya. 2026. “Traveling Wave Solutions for the FitzHugh-Nagumo Model”. Journal of Studies in Advanced Technologies 4 (2): 28-36. https://doi.org/10.63063/jsat.1916554.
EndNote
Durur H (September 1, 2026) Traveling Wave Solutions for the FitzHugh-Nagumo Model. Journal of Studies in Advanced Technologies 4 2 28–36.
IEEE
[1]H. Durur, “Traveling Wave Solutions for the FitzHugh-Nagumo Model”, JSAT, vol. 4, no. 2, pp. 28–36, Sept. 2026, doi: 10.63063/jsat.1916554.
ISNAD
Durur, Hülya. “Traveling Wave Solutions for the FitzHugh-Nagumo Model”. Journal of Studies in Advanced Technologies 4/2 (September 1, 2026): 28-36. https://doi.org/10.63063/jsat.1916554.
JAMA
1.Durur H. Traveling Wave Solutions for the FitzHugh-Nagumo Model. JSAT. 2026;4:28–36.
MLA
Durur, Hülya. “Traveling Wave Solutions for the FitzHugh-Nagumo Model”. Journal of Studies in Advanced Technologies, vol. 4, no. 2, Sept. 2026, pp. 28-36, doi:10.63063/jsat.1916554.
Vancouver
1.Hülya Durur. Traveling Wave Solutions for the FitzHugh-Nagumo Model. JSAT. 2026 Sep. 1;4(2):28-36. doi:10.63063/jsat.1916554