Geodesic
Optimal system of Lie algebra subalgebras of the point symmetries group for nonlinear heat equation without source
Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 53-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we construct an optimal system of subalgebras for the nine-dimension Lie algebra of infinitesimal operators for a point symmetries group of a nonlinear heat equation with isotropic heat conductivity tensor and with a power dependence of the temperature. The results are presented as a lemma and a theorem. It is proven that up to transformations of internal automorphisms and some discrete automorphisms, there are 117 dissimilar subalgebras classes of various dimensions.
Keywords: nonlinear heat equation, Lie algebra
Mots-clés : optimal system of subalgebras. 
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A. M. Ilyasov. Optimal system of Lie algebra subalgebras of the point symmetries group for nonlinear heat equation without source. Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 53-66. http://geodesic.mathdoc.fr/item/UFA_2013_5_3_a5/

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