Geodesic
Transition of the Heisenberg equation for $h\to 0$ to the dynamic equation of a monoatomic ideal gas and quantization of relativistic hydrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 378-383 
V. P. Maslov. Transition of the Heisenberg equation for $h\to 0$ to the dynamic equation of a monoatomic ideal gas and quantization of relativistic hydrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 378-383. http://geodesic.mathdoc.fr/item/TMF_1969_1_3_a7/
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     title = {Transition of the {Heisenberg} equation for $h\to 0$ to the dynamic equation of a monoatomic ideal gas and quantization of relativistic hydrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1969_1_3_a7/}
}
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It is shown that the equation $h^2\square\psi+k^2\psi^{7/3}=0$ for $h\to 0$ transforms into a system of dynamic equations of a monoatomic ideal gas ($c_v =3/2$), and the equation $h^2\square\psi+k^2|\psi|^2\psi=0$ for $h\to 0$ transforms into a system of dynamic equations of a monoatomic ideal gas ($c_v =1$).

[1] N. N. Bogolyubov, Yu. A. Mitropolskii, Asimptoticheskie metody v teorii nelineinykh kolebanii, Gostekhizdat, 1955 | MR

[2] S. A. Lomov, “Postroenie asimptoticheskikh reshenii nekotorykh zadach s parametrami”, Izv. AN SSSR, ser. mat., 32 (1968), 884 | MR | Zbl

[3] V. P. Maslov, Teoriya vozmuschenii i asimptoticheskie metody, Izd-vo MGU, 1965 | MR