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Classification of integrable Vlasov-type equations

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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.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, RAS, Moscow, Russia

    A. V. Odesskii & V. V. Sokolov

  2. University of Manchester, Manchester, UK

    A. V. Odesskii

  3. Lebedev Physical Institute, RAS, Moscow, Russia

    M. V. Pavlov

Authors
  1. A. V. Odesskii
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  2. M. V. Pavlov
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  3. V. V. Sokolov
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Correspondence to A. V. Odesskii.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 2, pp. 249–260, February, 2008.

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Odesskii, A.V., Pavlov, M.V. & Sokolov, V.V. Classification of integrable Vlasov-type equations. Theor Math Phys 154, 209–219 (2008). https://doi.org/10.1007/s11232-008-0020-0

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  • DOI: https://doi.org/10.1007/s11232-008-0020-0

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