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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 302, Pages 343–353
DOI: https://doi.org/10.1134/S0371968518030172 (Mi tm3929) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Integrability of exceptional hydrodynamic-type systems

Maxim V. Pavlov

P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Leninskii pr. 53, Moscow, 119991 Russia
Full-text PDF (196 kB) Citations (9)
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DOI: https://doi.org/10.1134/S0371968518030172
Abstract: We consider non-diagonalizable hydrodynamic-type systems integrable by the extended hodograph method. We restrict the analysis to non-diagonalizable hydrodynamic reductions of the three-dimensional Mikhalev equation. We show that families of these hydrodynamic-type systems are reducible to the heat hierarchy. Then we construct new particular explicit solutions for the Mikhalev equation.
Keywords: integrable quasilinear systems of first order, linearly degenerate systems of first order, characteristic velocities, extended hodograph method.
Funding agency Grant number
Russian Foundation for Basic Research 16-51-55012
This work was supported in part by the Russian Foundation for Basic Research, project no. 16-51-55012.
Received: May 26, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 302, Pages 325–335
DOI: https://doi.org/10.1134/S0081543818060172
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: Maxim V. Pavlov, “Integrability of exceptional hydrodynamic-type systems”, Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 302, MAIK Nauka/Interperiodica, Moscow, 2018, 343–353; Proc. Steklov Inst. Math., 302 (2018), 325–335
Citation in format AMSBIB
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\pages 343--353
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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