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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 294–302
DOI: https://doi.org/10.4213/tmf6918 (Mi tmf6918) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Generalized hydrodynamic reductions of the kinetic equation for a soliton gas

M. V. Pavlovab, V. B. Taranovc, G. A. Eld

a Lebedev Physical Institute, RAS, Moscow, Russia
b M. V. Lomonosov Moscow State University
c Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kiev, Ukraine
d Department of Mathematical Sciences, Loughborough University, Loughborough, United Kingdom
Full-text PDF (407 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6918
Abstract: We derive generalized multiflow hydrodynamic reductions of the nonlocal kinetic equation for a soliton gas and investigate their structure. These reductions not only provide further insight into the properties of the new kinetic equation but also could prove to be representatives of a novel class of integrable systems of hydrodynamic type beyond the conventional semi-Hamiltonian framework.
Keywords: kinetic equation, Riemann invariant, hydrodynamic reduction.
Received: 25.05.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 675–682
DOI: https://doi.org/10.1007/s11232-012-0064-z
Bibliographic databases:
Language: Russian
Citation: M. V. Pavlov, V. B. Taranov, G. A. El, “Generalized hydrodynamic reductions of the kinetic equation for a soliton gas”, TMF, 171:2 (2012), 294–302; Theoret. and Math. Phys., 171:2 (2012), 675–682
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6918
  • https://www.mathnet.ru/eng/tmf/v171/i2/p294
    • This publication is cited in the following 9 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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