Potential symmetries of inhomogeneous nonlinear diffusion equations

DOI10.1017/S0004972700022528zbMath0958.58031MaRDI QIDQ4498186

Christodoulos Sophocleous

Publication date: 3 April 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

similarity transformationpotential symmetrygeneralized radial diffusion equation

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (4)

Generation solutions algorithms for the class of inhomogeneous nonlinear diffusion equations ⋮ Lie symmetries and invariants for a 2D nonlinear heat equation ⋮ Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification ⋮ Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Similarity solutions for nonlinear diffusion - A new integration procedure
• Exact similarity solutions to some nonlinear diffusion equations
• Exact solutions to a nonlinear diffusion equation
• Similarity solutions to three-dimensional nonlinear diffusion equations
• New classes of symmetries for partial differential equations
• Potential symmetries and solutions by reduction of partial differential equations
• New classes of similarity solutions of the inhomogeneous nonlinear diffusion equations
• Nonlinear boundary value problems in science and engineering

This page was built for publication: Potential symmetries of inhomogeneous nonlinear diffusion equations