Integrability of Exceptional Hydrodynamic-Type Systems
- 作者: Pavlov M.V.1
-
隶属关系:
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences
- 期: 卷 302, 编号 1 (2018)
- 页面: 325-335
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175649
- DOI: https://doi.org/10.1134/S0081543818060172
- ID: 175649
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详细
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.
作者简介
Maxim Pavlov
P.N. Lebedev Physical Institute of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: mpavlov@itp.ac.ru
俄罗斯联邦, Leninskii pr. 53, Moscow, 119991
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