Group analysis of a semilinear vector diffusion equation

DOI10.1016/0362-546X(83)90113-XzbMath0525.35045OpenAlexW2076371857MaRDI QIDQ3039803

Walter Zulehner, William F. Ames

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90113-x

zbMATH Keywords

Lie algebrainvariant solutionsgroup analysisgroup classificationgroup generatorssemilinear vector diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities ⋮ Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions ⋮ A hunter-gatherer–farmer population model: Lie symmetries, exact solutions and their interpretation

Cites Work

• Unnamed Item
• Analysis of mathematical models for pollutant transport and dissipation
• Invariant solutions of one quasilinear equation
• Similarity methods for differential equations
• Nonlinear partial differential equations in engineering. Vol. II
• Lie Algebras and Inhomogeneous Simple Materials

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