Similarity solutions for nonlinear diffusion - Further exact solutions

DOI10.1007/BF00129869zbMath0709.76129OpenAlexW2045422661MaRDI QIDQ922160

James M. Hill, Desmond L. Hill

Publication date: 1990

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00129869

zbMATH Keywords

nonlinear diffusion equationelementary integration procedure

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50)

Related Items (11)

Exact solutions of a nonlinear diffusion equation on polynomial invariant subspace of maximal dimension ⋮ Painlevé test and exact similarity solutions of a class of nonlinear diffusion equations ⋮ On the group classification of variable-coefficient nonlinear diffusion--convection equations ⋮ Utilization of nonlinear diffusion solutions for \(n\)-diffusion and power- law materials ⋮ On the derivation of first integrals for similarity solutions ⋮ On certain exact solutions of a generalized KdV-Burgers type equation via isovector method. I ⋮ Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations ⋮ Similarity Reductions for a Nonlinear Diffusion Equation ⋮ Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations ⋮ Using group theoretic method to solve multi-dimensional diffusion equation ⋮ Potential symmetries and invariant solutions for the inhomogeneous nonlinear diffusion equation

Cites Work

• Similarity solutions for nonlinear diffusion - A new integration procedure
• “Waiting-time” Solutions of a Nonlinear Diffusion Equation
• On reducible non-linear differential equations occurring in mechanics

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