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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 2, Pages 249–260
DOI: https://doi.org/10.4213/tmf6166 (Mi tmf6166) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Classification of integrable Vlasov-type equations

A. V. Odesskiiab, M. V. Pavlovc, V. V. Sokolova

a 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
Full-text PDF (420 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf6166
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
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 2, Pages 209–219
DOI: https://doi.org/10.1007/s11232-008-0020-0
Bibliographic databases:
Language: Russian
Citation: A. V. Odesskii, M. V. Pavlov, V. V. Sokolov, “Classification of integrable Vlasov-type equations”, TMF, 154:2 (2008), 249–260; Theoret. and Math. Phys., 154:2 (2008), 209–219
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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