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Tr. Mat. Inst. Steklova, 2018, Volume 302, Pages 343–353 (Mi tm3929)  

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

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.

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.


DOI: https://doi.org/10.1134/S0371968518030172

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English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 302, 325–335

Bibliographic databases:

UDC: 517.956.4
Received: May 26, 2018

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, Tr. 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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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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