Group classification and exact solutions of a radially symmetric porous-medium equation

DOI10.1016/S0020-7462(00)00109-8zbMath1116.76448OpenAlexW2034179034WikidataQ127088928 ScholiaQ127088928MaRDI QIDQ872761

F. Güngör

Publication date: 28 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(00)00109-8

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Symmetries, invariants of ordinary differential equations (34C14) Flows in porous media; filtration; seepage (76S05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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Group classifications, optimal systems, symmetry reductions and conservation law of the generalized fractional porous medium equation ⋮ Equivalence and symmetries for variable coefficient linear heat type equations. II. Fundamental solutions ⋮ Group classification and conservation laws of a class of hyperbolic equations ⋮ Lie symmetry analysis, conservation laws and separation variable type solutions of the time-fractional porous medium equation ⋮ Group classification and exact solutions of a class of nonlinear waves

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