Geodesic
Classification if rank 2 stationary submodels of ideal hydrodynamics
Čelâbinskij fiziko-matematičeskij žurnal, Tome 4 (2019) no. 1, pp. 18-32

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For two-dimensional subalgebras of the twelve-dimensional Lie algebra, admitted by the equations of the ideal hydrodynamics with the equation of state in the form of pressure, represented as the sum of the density and entropy functions, invariant submodels of rank 2 of the canonical form of stationary type are constructed. The canonical form for rank 2 invariant submodels of stationary type of the eleven-dimensional Lie algebra, admitted by the equations of gas dynamics with the state equation of a general form, is specified.
Keywords: ideal hydrodynamics equations, equation of state, permissible subalgebra, representation of invariant solution, invariant submodel, stationary type of submodel, canonical form of submodel. 
@article{CHFMJ_2019_4_1_a1,
     author = {D. T. Siraeva},
     title = {Classification if rank 2 stationary submodels of ideal hydrodynamics},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {18--32},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2019_4_1_a1/}
}
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D. T. Siraeva. Classification if rank 2 stationary submodels of ideal hydrodynamics. Čelâbinskij fiziko-matematičeskij žurnal, Tome 4 (2019) no. 1, pp. 18-32. http://geodesic.mathdoc.fr/item/CHFMJ_2019_4_1_a1/