Analytical properties of the perturbed FitzHugh-Nagumo model

DOI10.1016/j.aml.2017.08.013zbMath1379.35050OpenAlexW2750903176MaRDI QIDQ1680029

Nikolay A. Kudryashov, Aleksander G. Sboev, Roman B. Rybka

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.08.013

zbMATH Keywords

exact solutionODE-PDE systemPainelevé test

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Solutions to PDEs in closed form (35C05)

Related Items (15)

Meromorphic solutions in the Fitzhugh-Nagumo model ⋮ A nearly exact discretization scheme for the FitzHugh-Nagumo model ⋮ Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ Unnamed Item ⋮ Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay ⋮ Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients ⋮ A method for constructing exact solutions of nonlinear delay PDEs ⋮ Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients ⋮ Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation ⋮ On solutions to a FitzHugh-Rinzel type model ⋮ A remark on the meromorphic solutions in the FitzHugh-Nagumo model ⋮ Analytical Properties and Solutions of the FitzHugh – Rinzel Model ⋮ On Integrability of the FitzHugh – Rinzel Model ⋮ An analytical scheme on complete integrability of 2D biophysical excitable systems ⋮ Separation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equations

Cites Work

• One method for finding exact solutions of nonlinear differential equations
• Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation
• Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
• Solitary wave solution for the generalized Kawahara equation
• A note on solutions of the generalized Fisher equation
• Analytical properties of nonlinear dislocation equation
• Simplest equation method to look for exact solutions of nonlinear differential equations
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