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  • Lagrangian approach to a generalized coupled lane-Emden system: symmetries and first integrals 

    Muatjetjeja, B.; Chalique, C.M. (Elsevier http://www.sciencedirect.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=1120288190&view=c&_acct=C000043160&_version=1&_urlVersion=0&_userid=778200&md5=2911144ac0b419d4936d24596384b313, 2009)
    This paper aims to classify a generalized coupled Lane–Emden system and to compute the Noether operators corresponding to a Lagrangian for a generalized coupled Lane–Emden system which occurs in the modelling of several ...
  • Lie group classification of the generalized Lane-Emden equation 

    Khalique, C.M.; Muatjetjeja, B. (Elsevier http://dx.doi.org/10.1016/j.amc.2009.01.008, 2009)
    We carry out the Lie group classification of the generalized Lane–Emden equation xu00 þ nu0 þ xHðuÞ ¼ 0, which has many applications in mathematical physics and astrophysics. We show that the equation admits a three-dimensional ...