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

DOI10.1017/S0334270000008924zbMath0790.35103OpenAlexW2105769442MaRDI QIDQ5287957

Philip Broadbridge, Colin Rogers

Publication date: 8 August 1993

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0334270000008924

zbMATH Keywords

flux boundary conditionFokas-Yortsos-Rosen equationunsaturated flow in a soil

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70) Reaction effects in flows (76V05)

Related Items (8)

Applications of Integrable Nonlinear Diffusion Equations in Industrial Modelling ⋮ The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}_ x\) and its relatives] ⋮ On transport through heterogeneous media: application of conjugated reciprocal transformations ⋮ A class of moving boundary problems with a source term: application of a reciprocal transformation ⋮ Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions ⋮ ON SOME CLASSES OF LINEARIZABLE REACTION-CONVECTION-DIFFUSION EQUATIONS ⋮ Solutions and reductions for radiative energy transport in laser-heated plasma ⋮ All solutions of standard symmetric linear partial differential equations have classical Lie symmetry

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