This article is cited in 10 papers

Classification of integrable Vlasov-type equations

A. V. Odesskii^ab, M. V. Pavlov^c, V. V. Sokolov<sup>a

a</sup> L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b University of Manchester
^c P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: 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.

Received: 24.04.2007
Revised: 28.10.2007

DOI: 10.4213/tmf6166

 English version: Theoretical and Mathematical Physics, 2008, 154:2, 209–219

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