| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7154831 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 7 Pages |
Abstract
The Lie algebras admitted by the dynamics equations of self-gravitating gas for an arbitrary equation of state and a polytropic gas are calculated. A spherically symmetric submodel is constructed for the case of a polytropic gas. The Lie algebras and the optimal system of subalgebras for a spherically symmetric submodel are computed. An invariant solution describing the steady motion is obtained.
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Authors
I. Klebanov, A. Panov, S. Ivanov, O. Maslova,