New conditional symmetries and exact solutions of reaction–diffusion systems with power diffusivities

DOI10.1088/1751-8113/41/18/185208zbMath1145.35354arXiv0805.1286OpenAlexW2020231606MaRDI QIDQ5387940

Oleksii Pliukhin, Roman M. Cherniha

Publication date: 27 May 2008

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

Full work available at URL: https://arxiv.org/abs/0805.1286

zbMATH Keywords

spatially inhomogeneous structures

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70) Solutions to PDEs in closed form (35C05)

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Approximate Q-conditional symmetries of partial differential equations ⋮ Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model ⋮ Conditional Lie-Bäcklund Symmetry of Evolution System and Application for Reaction-Diffusion System ⋮ Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities ⋮ Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities ⋮ Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system ⋮ Nonlinear reaction-diffusion systems with a non-constant diffusivity: conditional symmetries in no-go case ⋮ 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

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