Uncountable Infinite Exact Solutions to the FitzHugh-Nagumo Model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910539106484224 |
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| author | Ramji, Shahid Sultan Ali Kwessi, Eddy Abbas, Mujahid |
| author_facet | Ramji, Shahid Sultan Ali Kwessi, Eddy Abbas, Mujahid |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16678 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uncountable Infinite Exact Solutions to the FitzHugh-Nagumo Model Ramji, Shahid Sultan Ali Kwessi, Eddy Abbas, Mujahid Dynamical Systems 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. |
| title | Uncountable Infinite Exact Solutions to the FitzHugh-Nagumo Model |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2407.16678 |