# Uncountable Infinite Exact Solutions to the FitzHugh-Nagumo Model

Source: [Uncountable Infinite Exact Solutions to the FitzHugh-Nagumo Model](<https://www.sota2.com/research/paper/68fa5c141e209131ce9cde38>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T17:25:26.908Z

Authors: Shahid Sultan Ali Ramji, Eddy Kwessi, Mujahid Abbas

Published: 2024-07-23T17:44:59.000Z

## Abstract

First time in six decades, uncountable infinite exact solutions of FitzHugh-Nagumo model with diffusion have been found. FitzHugh-Nagumo model is a nonlinear dynamical system applicable to neurosciences, chemical kinetics, cell division, population dynamics, electronics, epidemiology, cardiac physiology and pattern formation. Non-classical symmetry analysis has been carried out to find invariant solutions. In many ways this finding makes the corpus of asymptotics and numerics obsolete. Non singular, physically stable and meaningful solutions could now be found without distorting the actual model or introducing forced conditions.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2407.16678>)

[PDF](<https://arxiv.org/pdf/2407.16678.pdf>)