Symmetry analysis and exact solutions for a generalized Fisher equation in cylindrical coordinates
From MaRDI portal
Publication:2297452
DOI10.1016/j.cnsns.2015.01.010zbMath1440.35197OpenAlexW2059343131MaRDI QIDQ2297452
Publication date: 20 February 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2015.01.010
Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (6)
Multiplier method and exact solutions for a density dependent reaction-diffusion equation ⋮ Nonlinear waves in a simple model of high-grade glioma ⋮ On Symmetries and Conservation Laws for a Generalized Fisher–Kolmogorov–Petrovsky–Piskunov Equation ⋮ Lie point symmetries for generalised Fisher's equations describing tumour dynamics ⋮ Classical and potential symmetries for a generalized Fisher equation ⋮ Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear self-adjointness and conservation laws for a generalized Fisher equation
- Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs
- On a generalized Fisher equation
- A new conservation theorem
- An exact solution of a quasilinear Fisher equation in cylindrical coordinates
- Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage
- Explicit solutions of Fisher's equation for a special wave speed
- Mathematical biology. Vol. 1: An introduction.
- Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations
- Simplest equation method to look for exact solutions of nonlinear differential equations
- On invariant solutions of the equation of non-linear heat conduction with a source
- Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II
This page was built for publication: Symmetry analysis and exact solutions for a generalized Fisher equation in cylindrical coordinates