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Journal of Applied Mechanics and Technical Physics

2014 year, number 2

Simple Waves of a Seven-Dimensional Subalgebra of All Translations in Gas Dynamics

S. V. Khabirov
Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054 Russia
Keywords: gas dynamics, subalgebra of translations, simple wave


A differentially invariant solution of rank 1 for gas dynamics equations is considered in a seven-dimensional subalgebra of all translations including Galilean translations. Exact solutions with a uniformly accelerated plane of the level of invariant functions are obtained. A nonisentropic wave depends on two arbitrary functions and constants. A general solution of an isentropic simple wave depends on the constants only.