Geodesic
Classification of integrable Vlasov-type equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 249-260

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The classification of integrable Vlasov-type equations reduces to a functional equation for a generating function. We find a general solution of this functional equation in terms of hypergeometric functions.
Keywords: integrable hydrodynamic chain, hydrodynamic reduction. 
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     title = {Classification of integrable {Vlasov-type} equations},
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A. V. Odesskii; M. V. Pavlov; V. V. Sokolov. Classification of integrable Vlasov-type equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 249-260. http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a3/