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Studying a non-dissipative system of the two-velocity hydrodynamics

Sergej VasilievInstitute of Geology and Mineralogy, SB RAS, Novosibirsk, RussiaХ. Х. ИмомназаровInstitute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, RussiaB. J. MamasolievJoint Belarusian-Uzbek Intersectoral Institute of Applied Technical Qualifications in Tashkent, Tashkent, Uzbekistan

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The basis of the kernel of the main Lie algebra of the one-dimensional system equations of a two liquid medium in a non-dissipative approximation with one pressure has been obtained.Optimal systems of subalgebras for a given kernel are found.

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