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Symmetry analysis and new partially invariant solutions for the gas dynamics system with a special equation of state
Dilara Siraeva, Irina A. Kogan
https://arxiv.org/abs/2510.01415

Symmetry analysis and new partially invariant solutions for the gas dynamics system with a special equation of state
This paper is a contribution to the symmetry analysis of the gas dynamics system in the vein of the ''podmodeli'' (submodels) program outlined by Ovsyannikov (1994). We consider the case of the special state equation, prescribing pressure to be the sum of entropy and an arbitrary function of density. Such a system has a 12-dimensional symmetry Lie algebra. This work advances the study of its four-dimensional subalgebras, continuing the work started in Siraeva (2024). For a large subset of not p…