Integrability of Exceptional Hydrodynamic-Type Systems
- Autores: Pavlov M.V.1
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Afiliações:
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences
- Edição: Volume 302, Nº 1 (2018)
- Páginas: 325-335
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175649
- DOI: https://doi.org/10.1134/S0081543818060172
- ID: 175649
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Resumo
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.
Sobre autores
Maxim Pavlov
P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: mpavlov@itp.ac.ru
Rússia, Leninskii pr. 53, Moscow, 119991
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