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Symmetry Transformations for the Generalized Lane–Emden Equation

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Abstract

By uncovering symmetries, this paper provides a technique for integrating the generalized Lane–Emden equation. Their existence explains why it has been possible to obtain exact solutions of the generalized Lane–Emden equation of the first kind only for particular values of parameters.

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  1. Institute of Theoretical Physics, University of Göttingen, D-37073, Göttingen, Germany

    Hubert Goenner

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  1. Hubert Goenner
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Goenner, H. Symmetry Transformations for the Generalized Lane–Emden Equation. General Relativity and Gravitation 33, 833–841 (2001). https://doi.org/10.1023/A:1010255807935

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