Lie symmetries of nonlinear multidimensional reaction diffusion systems: II

DOI10.1088/0305-4470/36/2/309zbMath1059.35058OpenAlexW4253747311MaRDI QIDQ4465801

Roman M. Cherniha, John R. King

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/36/2/309

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Geometric theory, characteristics, transformations in context of PDEs (35A30) General biology and biomathematics (92B05)

Related Items

Spiral waves in a mathematical model of blood clotting ⋮ Local scale-invariance and ageing in noisy systems ⋮ Dynamical symmetries of semi-linear Schrödinger and diffusion equations ⋮ Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. II: Generalized Turing systems ⋮ Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model ⋮ The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties ⋮ Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity ⋮ Conditional symmetry of a system of nonlinear reaction-diffusion equations ⋮ Galilei's relativity principle for a system of reaction-convection-diffusion equations ⋮ Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities ⋮ Group classification of systems of diffusion equations ⋮ Systems of reaction-convection-diffusion equations invariant under Galilean algebras ⋮ Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system ⋮ New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics ⋮ On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations ⋮ New classes of exact solutions to nonlinear systems of reaction-diffusion equations ⋮ Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations ⋮ Lie symmetries of the Shigesada-Kawasaki-Teramoto system ⋮ Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions ⋮ A hunter-gatherer–farmer population model: Lie symmetries, exact solutions and their interpretation ⋮ Nonclassical symmetries of a system of nonlinear reaction-diffusion equations ⋮ New similarity solutions of a generalized variable-coefficient Gardner equation with forcing term ⋮ Lie and \(Q\)-conditional symmetries of reaction-diffusion-convection equations with exponential nonlinearities and their application for finding exact solutions ⋮ Lie symmetry classification of the generalized nonlinear beam equation ⋮ Nonlocal symmetries of the system of chemotaxis equations with derivative nonlinearity ⋮ Conditional Lie-Bäcklund symmetry, second-order differential constraint and direct reduction of diffusion systems