Email this article Integrability of Exceptional Hydrodynamic-Type Systems
- Authors: Pavlov M.V.1
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Affiliations:
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences
- Issue: Vol 302, No 1 (2018)
- Pages: 325-335
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175649
- DOI: https://doi.org/10.1134/S0081543818060172
- ID: 175649
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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-dimensionalMikhalev equation. We show that families of these hydrodynamictype systems are reducible to the heat hierarchy. Then we construct new particular explicit solutions for the Mikhalev equation.
About the authors
Maxim V. Pavlov
P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: mpavlov@itp.ac.ru
Russian Federation, Leninskii pr. 53, Moscow, 119991
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