Nonlinear Galilei-invariant PDEs with infinite-dimensional Lie symmetry

DOI10.1006/jmaa.2000.7067zbMath0966.35059OpenAlexW2078334881MaRDI QIDQ5927557

Roman M. Cherniha

Publication date: 7 August 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7067

zbMATH Keywords

absolute differential invariantsinfinite-dimensional Lie algebramaximal algebra of invariancenonlinear generalizations of the classical heat and Burgers equationsprinciple of superposition of nonlinear solutionsreaction-diffusion-convection equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Lie algebras of vector fields and related (super) algebras (17B66) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (3)

On nonlinear partial differential equations with an infinite-dimensional conditional symmetry ⋮ Nonlinear systems of the Burgers-type equations: Lie and \(Q\)-conditional symmetries, ansätze and solutions. ⋮ The exotic conformal Galilei algebra and nonlinear partial differential equations

Cites Work

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• Similarity methods for differential equations
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• Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms
• The Galilean relativistic principle and nonlinear partial differential equations
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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