Geodesic
Symmetries and solutions to equations of two-dimensional motions of polytropic gas
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 291-307.

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The optimal system of subalgebras for the $9$-dimensional Lie algebra was constructed. This system classifies invariant submodels of equation governing the motion of polytropic gas with polytrope-exponent $\gamma=2$. Invariant submodels of rank equal to 0 were found and their physical properties were described. 
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A. S. Pavlenko. Symmetries and solutions to equations of two-dimensional motions of polytropic gas. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 291-307. http://geodesic.mathdoc.fr/item/SEMR_2005_2_a20/

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