Geodesic
Reductions of partially invariant solutions of rank~1 defect~2 five-dimensional overalgebra of conical subalgebra
Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 125-129

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Conic flows are the invariant rank 1 solutions of the gasdynamics equations on the three-dimensional subalgebra defined by the rotation operators, translation by time and uniform dilatation. The generalization of the conic flows are partially invariant solutions of rank 1 defect 2 on the five-dimensional overalgebra of conic subalgebra extended by the operators of space translations noncommuting with rotation. We prove that that the extensions of conic flows are reduced either to function-invariant plane stationary solutions or to a double wave of isobaric motions or to the simple wave.
Keywords: gas dynamics, conic flows, partially invariant solutions. 
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     title = {Reductions of partially invariant solutions of rank~1 defect~2 five-dimensional overalgebra of conical subalgebra},
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S. V. Khabirov. Reductions of partially invariant solutions of rank~1 defect~2 five-dimensional overalgebra of conical subalgebra. Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 125-129. http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a10/