Direct approach for group classification for nonlinear filtration problem

DOI10.1016/S0960-0779(00)00251-4zbMath1029.35015OpenAlexW2082163138WikidataQ127632683 ScholiaQ127632683MaRDI QIDQ5950952

Hassan A. Zedan, Elsayed M. E. Zayed

Publication date: 2 January 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00251-4

zbMATH Keywords

groundwater flowinfinitesimal invariance conditionprincipal Lie algebra

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• Symmetry reductions of unsteady three-dimensional boundary layers of some non-Newtonian fluids
• Group classification of a heterogeneous Schrödinger equation
• Equivalence transformation for the filtration problem
• Group classification of heat conductivity equations with a nonlinear source
• Potential symmetries and new solutions of a simplified model for reacting mixtures
• Solution of the quantum inverse problem
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Nonlinear boundary value problems in science and engineering

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