Geodesic
Equations of gas dynamics admitting an infinite number of symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 2, pp. 163-171 
A. G. Meshkov; B. B. Mikhalyaev. Equations of gas dynamics admitting an infinite number of symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 2, pp. 163-171. http://geodesic.mathdoc.fr/item/TMF_1987_72_2_a0/
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     title = {Equations of gas dynamics admitting an infinite number of symmetries},
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Voir la notice de l'article provenant de la source Math-Net.Ru

All the equations of state are found for which the one-dimensional gas dynamic equations possess an infinite Lie–Backlund algebra. In all these cases the gas dynamics equations are either explicitely integrable or can be presented in the Lax form. A method for constructing an infinite set of conservation laws is given.

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