Group classification of one-dimensional equations of relativistic gas dynamics

Abstract

Analysis of the one-dimensional relativistic gas dynamics equations is presented in the paper. The equations contain the internal energy as an arbitrary element. Depending on the form of this function the equations have different symmetries. Complete group classification of the one-dimensional relativistic gas dynamics equations with respect to an admitted Lie group is obtained in the present paper. The classification divides the equations into several classes. Analysis of invariant solutions is also provided.