Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
From MaRDI portal
Publication:525147
DOI10.1007/s10665-012-9591-8zbMath1360.35101OpenAlexW2001880530MaRDI QIDQ525147
P. Masemola, Kamran Fakhar, Abdul Hamid Kara
Publication date: 28 April 2017
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-012-9591-8
Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Quasilinear parabolic equations (35K59)
Related Items (2)
A geometric approach for solving the density-dependent diffusion Nagumo equation ⋮ Analytical and numerical solutions of the <scp>Fitzhugh–Nagumo</scp> equation and their multistability behavior
Cites Work
- Unnamed Item
- Generalization of the double reduction theory
- Analytical and numerical solutions of the density dependent Nagumo telegraph equation
- Analytical and numerical solutions of the density dependent diffusion Nagumo equation
- New exact solutions to the Fitzhugh-Nagumo equation
- An exact solution for travelling waves of \(u_ t=Du_{xx}+u-u^ k\)
- Relationship between symmetries and conservation laws
- Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation
- A new traveling-wave solution of Fisher's equation with density-dependent diffusivity
- Fisher equation with density-dependent diffusion: special solutions
- Numerical study of Fisher's equation by a Petrov-Galerkin finite element method
- A new numerical scheme for the Fisher equation
- A Fisher/KPP-type equation with density-dependent diffusion and convection: travelling-wave solutions
- Nonlinear evolution-type equations and their exact solutions using inverse variational methods
- Analytic solutions of the Fisher equation
- A Basis of Conservation Laws for Partial Differential Equations
- On a Nonlinear Diffusion Equation Describing Population Growth
- Symmetries and differential equations
This page was built for publication: Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations