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    Group analysis of a hyperbolic Lane-Emden system

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    Date
    2017
    Author
    Mogorosi, Tshepo E.
    Freire, Igor L.
    Muatjetjeja, Ben
    Khalique, Chaudry Masood
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    Abstract
    In this paper we carry out a complete Noether and Lie group classification of the radial form of a coupled system of hyperbolic equations. From the Noether symmetries we establish the corresponding conserved vectors. We also determine constraints that the nonlinearities should satisfy in order for the scaling symmetries to be Noetherian. This led us to a critical hyperbola for the systems under consideration. An explicit solution is also obtained for a particular choice of the parameters.
    URI
    https://doi.org/10.1016/j.amc.2016.07.033
    http://hdl.handle.net/10394/30308
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    • Faculty of Natural and Agricultural Sciences [4855]

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