Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions

DOI10.1016/0362-546X(94)00313-7zbMath0878.35058WikidataQ126572762 ScholiaQ126572762MaRDI QIDQ4861589

Philip Broadbridge, Joanna M. Goard

Publication date: 12 February 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Arrhenius reaction termexact solution to a combustion equationinfinitesimal symmetry operators

Mathematics Subject Classification ID

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

Related Items (15)

Compatibility and generalised conditional symmetries ⋮ Nonclassical symmetry solutions for fourth-order phase field reaction-diffusion ⋮ Symmetry analysis of the two-dimensional diffusion equation with a source term ⋮ Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis ⋮ Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems ⋮ EXACT SOLUTIONS OF HYPERBOLIC REACTION-DIFFUSION EQUATIONS IN TWO DIMENSIONS ⋮ Classes of solution for a system of one-dimensional motion of a gas ⋮ Integrable nonlinear reaction-diffusion population models for fisheries ⋮ Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions ⋮ Generalised conditional symmetries and Nucci's method of iterating the nonclassical symmetries method ⋮ Exact solutions for logistic reaction-diffusion equations in biology ⋮ A note on separation of variables solutions of generalized nonlinear diffusion equations ⋮ Nonclassical symmetry solutions for non-autonomous reaction-diffusion equations ⋮ All solutions of standard symmetric linear partial differential equations have classical Lie symmetry ⋮ Applications of the group of equations of the one-dimensional motion of a gas under the influence of monochromatic radiation

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• On a nonlinear reaction-diffusion boundary-value problem: application of a Lie-Bäcklund symmetry
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