Geodesic
Invariant submodels of system equations of two-velocity hydrodynamics with equilibrium of pressure phases
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 585-602

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We found the main core of Lie groups of transformations for a one-dimensional system of two-velocity hydrodynamic equations with equilibrium of pressure phases, using the theory of Lie groups and Lie algebra. Also, all systems of differential equations for invariant and partially invariant solutions for all non-subgroups, algebras that are included in optimal systems are written out. In some cases, solutions have been found.
Keywords: two-velocity hydrodynamic, Lie algebra
Mots-clés : invariant solution. 
@article{SEMR_2018_15_a90,
     author = {G. S. Vasiliev and Jian-Gang Tang and B. Zh. Mamasoliev},
     title = {Invariant submodels of system equations of two-velocity hydrodynamics with equilibrium of pressure phases},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {585--602},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a90/}
}
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G. S. Vasiliev; Jian-Gang Tang; B. Zh. Mamasoliev. Invariant submodels of system equations of two-velocity hydrodynamics with equilibrium of pressure phases. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 585-602. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a90/