^{1}Yuryk, II^{1}National University of Food Technologies, Kyiv |

Dopov. Nac. akad. nauk Ukr. 2018, 7:10-19 |

https://doi.org/10.15407/dopovidi2018.07.010 |

Section: Mathematics |

Language: English |

Abstract: We consider equations of hydrodynamics with certain additional constraints. Group-theoretical methods are applied to find invariant solutions of a system of Euler equations that satisfy the Rankine–Hugoniot conditions. |

Keywords: Euler equations, group-theoretical methods, invariant solutions |

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