Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities

DOI10.1016/j.cnsns.2011.12.023zbMath1248.35012arXiv1609.09607OpenAlexW2086903241MaRDI QIDQ446072

Vasyl' Davydovych, Roman M. Cherniha

Publication date: 28 August 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09607

zbMATH Keywords

Lie symmetry\(Q\)-conditional symmetrymultiparameter families of exact solutionsnon-classical symmetrynonlinear reaction-diffusion system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (9)

Approximate Q-conditional symmetries of partial differential equations ⋮ Lie symmetries, reduction and exact solutions of the \((1+2)\)-dimensional nonlinear problem modeling the solid tumour growth ⋮ Nonlinear reaction-diffusion systems with a non-constant diffusivity: conditional symmetries in no-go case ⋮ Numerical simulation and symmetry reduction of a two-component reaction-diffusion system ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation ⋮ Nonclassical Symmetries for a Class of Reaction-Diffusion Equations: the Method of Heir-Equations ⋮ Conditional Lie-Bäcklund symmetry, second-order differential constraint and direct reduction of diffusion systems ⋮ Nonclassical potential symmetry analysis and exact solutions for a thin film model of a perfectly soluble anti-surfactant solution ⋮ Robust stability of probabilistic delays fuzzy stochastic \(p\)-Laplace dynamic equations

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