Geodesic
Group analysis for gas dynamic equations in arbitrary coordinate system
Matematičeskoe modelirovanie, Tome 5 (1993) no. 7, pp. 29-40.

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Results of group classification for one-dimensional gas dynamic equations are presented. These equations are taken in the form used for adaptive and moving difference grids. It is shown that maximal group is admitted in the case containing mass Lagrange coordinates. Relationship between operators admitted in Euler and Lagrange coordinates along with operators in arbitrary coordinates is considered by means of integrable differential forms. 
@article{MM_1993_5_7_a3,
     author = {N. A. Dar'in},
     title = {Group analysis for gas dynamic equations in arbitrary coordinate system},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {29--40},
     publisher = {mathdoc},
     volume = {5},
     number = {7},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1993_5_7_a3/}
}
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N. A. Dar'in. Group analysis for gas dynamic equations in arbitrary coordinate system. Matematičeskoe modelirovanie, Tome 5 (1993) no. 7, pp. 29-40. http://geodesic.mathdoc.fr/item/MM_1993_5_7_a3/