Geodesic
Clebsch transformation of hydrodynamic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 1, pp. 77-84

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A geometric meaning of the Clebsch transformation of the hydrodynamic equations for an ideal fluid is established, as well as its relation to the reduction of differential 1-forms to the Darboux normal form. The corresponding kinematic conservation laws are described. The well-known conservation law for the number of quasiparticles is considered as a particular example. 
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     author = {A. I. Yaremchuk},
     title = {Clebsch transformation of hydrodynamic equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {77--84},
     publisher = {mathdoc},
     volume = {115},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a4/}
}
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A. I. Yaremchuk. Clebsch transformation of hydrodynamic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 1, pp. 77-84. http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a4/