GEOMETRIC CLASSIFICATION OF ANALYTICAL SOLUTIONS OF FITZHUGH-NAGUMO EQUATION AND ITS GENERALIZATION AS THE REACTION-DIFFUSION EQUATION
Fitzhugh-Nagumo equation and its generalization as the reaction-diffusion equations are investigated in this paper. Using the advanced concept of the Riemannian manifold including Lie symmetries and non-Lie symmetries as generalization of Lie symmetries (Q‑conditional symmetries in this paper), their exact solutions are geometrically classified. The approach used can also be a general framework for solving other complex linear differential equations.
Fitzhugh-Nagumo equation, reaction-diffusion equation, Lie symmetries, Q-conditional symmetries.
Received: February 12, 2021; Accepted: March 6, 2021; Published: April 27, 2021
How to cite this article: Atefeh Hasan-Zadeh, Geometric classification of analytical solutions of Fitzhugh-Nagumo equation and its generalization as the reaction-diffusion equation, Advances in Differential Equations and Control Processes 24(2) (2021), 167-174. DOI: 10.17654/DE024020167
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References:
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