Some nonlinear equations reducible to diffusion-type equations

DOI10.1007/BF02551049zbMath0989.35017OpenAlexW2008035473MaRDI QIDQ1592153

R. Smith

Publication date: 16 July 2002

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

Full work available at URL: https://doi.org/10.1007/bf02551049

zbMATH Keywords

second-order quasilinear equationsreducibility to diffusion-type

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Invariant integrability criterion for equations of hydrodynamic type
• Integrable equations on \(\mathbb Z\)-graded Lie algebras
• Comments on ``On the theory of thermal polarization of bodies in a rarefied gas flow
• Integrable systems generated by a constant solution of the Yang-Baxter equation
• Integrable boundary conditions for many-component Burgers equations
• On first-order conservation laws for systems of hydrodynamic-type equations
• Exact solutions in nonlinear diffusion
• Lie symmetry classification analysis for nonlinear coupled diffusion
• Potential symmetries of nonlinear diffusion - convection equations
• Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions
• The use of Lie transformation groups in the solution of the coupled diffusion equation
• Symmetries and differential equations

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