Classical and potential symmetries for a generalized Fisher equation
From MaRDI portal
Publication:507872
DOI10.1016/j.cam.2016.10.028zbMath1355.76054OpenAlexW2549163825MaRDI QIDQ507872
Publication date: 9 February 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.10.028
reaction-diffusionpartial differential equationsFisher equationsymmetry reductionspotential symmetries
Population dynamics (general) (92D25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Related Items
Reductions and symmetries for a generalized Fisher equation with a diffusion term dependent on density and space ⋮ Travelling waves and conservation laws of a \((2+1)\)-dimensional coupling system with Korteweg-de Vries equation ⋮ On Symmetries and Conservation Laws for a Generalized Fisher–Kolmogorov–Petrovsky–Piskunov Equation ⋮ Lie point symmetries for generalised Fisher's equations describing tumour dynamics ⋮ Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear self-adjointness and conservation laws for a generalized Fisher equation
- On double reductions from symmetries and conservation laws for a damped Boussinesq equation
- Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
- On the nonlinear self-adjointness of a class of fourth-order evolution equations
- Similarity methods for differential equations
- Mathematical biology. Vol. 1: An introduction.
- Symmetry analysis and conservation laws of a generalized two-dimensional nonlinear KP-MEW equation
- Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations
- Nonlinear self-adjointness of a class of third order nonlinear dispersive equations
- Equivalence transformations and conservation laws for a generalized variable-coefficient Gardner equation
- Lie group analysis of nonlinear inviscid flows with a free surface under gravity
- Symmetry analysis and exact solutions for a generalized Fisher equation in cylindrical coordinates
- Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics
- Nonlinear self-adjointness through differential substitutions
- A conservation law for a generalized chemical Fisher equation
- Weak self-adjoint differential equations
- Nonlinear self-adjointness and conservation laws
- New classes of symmetries for partial differential equations
- On the classical and nonclassical symmetries of a generalized Gardner equation
- Multiplier method and exact solutions for a density dependent reaction-diffusion equation
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- On Nonlocal Symmetries, Nonlocal Conservation Laws and Nonlocal Transformations of Evolution Equations: Two Linearisable Hierarchies
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries