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- W2070741570 abstract "A generator of Lie point symmetries admitted by a Lane–Emden equation of the second-kind for arbitrary shape factor k is used to determine invariant boundary conditions admitted by the equation. The generator of Lie point symmetries is then used to reduce the order of the Lane–Emden equation. A phase plane analysis of the reduced equation indicates that the stability of the invariant boundary condition y′=0 on the line x=0 changes with changing shape factor k. We show that for values of the shape factor k>1 the boundary condition y′=0 is stable on the line x=0 while it is unstable for k⩽1." @default.
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- W2070741570 date "2008-05-01" @default.
- W2070741570 modified "2023-09-26" @default.
- W2070741570 title "Instability of invariant boundary conditions of a generalized Lane–Emden equation of the second-kind" @default.
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- W2070741570 doi "https://doi.org/10.1016/j.amc.2007.08.077" @default.
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