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- W2034179034 abstract "In this paper we perform a group classification for the generalized radial porous-medium equation. We also classify symmetry reductions of the equation to first- or second-order ordinary differential equations (ODEs) and hence construct invariant solutions in a systematic manner. We show that the reduced second-order equations are invariant under either a two-parameter or one-parameter Lie groups. In the first case, they are completely integrated by a pair of quadratures. In the latter, they are often reduced to first-order ODEs of Abel type." @default.
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- W2034179034 date "2002-03-01" @default.
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- W2034179034 title "Group classification and exact solutions of a radially symmetric porous-medium equation" @default.
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- W2034179034 doi "https://doi.org/10.1016/s0020-7462(00)00109-8" @default.
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