Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions
From MaRDI portal
Publication:2018991
DOI10.1016/j.amc.2012.09.032zbMath1309.35040OpenAlexW2047654908MaRDI QIDQ2018991
Jessica Hearns, Robert A. van Gorder, S. Roy Choudhury
Publication date: 26 March 2015
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.032
Related Items
A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations ⋮ Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method
- On elliptic solutions of nonlinear ordinary differential equations
- Bäcklund transformation and multi-soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries system via symbolic computation
- Analytical and numerical solutions of the density dependent Nagumo telegraph equation
- Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis
- Analytical and numerical solutions of the density dependent diffusion Nagumo equation
- Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method
- New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
- Exact solitary waves of the Fisher equation
- Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation
- A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation
- Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation
- Traveling wave solutions of the generalized nonlinear evolution equations
- Exact travelling wave solutions of the generalized Bretherton equation
- On the diffusion of biological populations
- Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh–Nagumo equation
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Exact solutions of the Burgers-Huxley equation
- The Painlevé property for partial differential equations
- On classes of integrable systems and the Painlevé property
- Traveling wave solutions for some density dependent diffusion equations
- Painlevé analysis and partial integrability of a class of reaction-diffusion equations
