| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7175581 | Journal of Applied Mathematics and Mechanics | 2017 | 7 Pages |
Abstract
A potential has been introduced with based on a conservation law for the simplest one-dimensional model of gas flow in a porous medium. The admissible Lie algebra of this model with this potential is extended by a new transport operator. An optimal system of non-similar subalgebras has been constructed. For one-dimensional subalgebras, all invariant sub-models have been considered and the solutions have been investigated qualitatively. Group analysis can be extended by a consideration of differentially invariant sub-models for subalgebras of greater dimension.
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Authors
S.V. Khabirov,