A note on explicit solutions of FitzHugh-Rinzel system

preprint2022arXivOpen access

Abstract

The numerous scientific feedbacks that the FitzHugh-Rinzel system (FHR) is having in various scientific fields, lead to further studies on the determination of its explicit solutions. Indeed, such a study can help to get a better understanding of several behaviors in the complex dynamics of biological systems. In this note, a class of traveling wave solutions is determined and specific solutions are achieved to explicitly show the contribution due to a diffusion term considered in the FHR model.

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