On the Lagrangian formulation of a Lane-Emden-type equation and double reduction |
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| Authors: | C Masood Khalique Pauline Ntsime |
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| Institution: | International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa |
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| Abstract: | We classify all Noether point symmetries of the Lane-Emden-type equation x y ″ + n y ′ + xνf (y) = 0 with respect to the standard Lagrangian L = 1/2 xny ′2 – xn +ν –1 ∫ f (y)dy for various functions f (y). We then obtain first integrals of the various cases which admit Noether point symmetries and obtain reduction to quadratures for these cases. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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