文[G. Boillat，{ \it J. Math. Phys.} { \bf 11}，1482-3（1970）]和[G.M.韦布河Ratkiewicz，M. Brio和G. P. Zank，{ \it J. Plasma Phys.} { \bf 59}，417-460（1998）]被用于完全相对论流体和等离子体流。三个基本模式：涡，熵和声音模式，其中每一个都是不同的非相对论模拟。涡和熵模式在实验室框架和波框架（与波前共同移动）中正式求解，而声音模式仅在超相对论温度下的波框架中正式求解。另外，引入并确定了作为解的允许区域和禁止区域之间边界的曲面。最后，对涡模方程进行了对称性分析，得到了点变换和接触变换。文中还导出了点变换的基本不变量和一般解的形式，并给出了一些具体的例子。
英文摘要：
A special version of multi--dimensional simple waves given in [G. Boillat, {\it J. Math. Phys.} {\bf 11}, 1482-3 (1970)] and [G.M. Webb, R. Ratkiewicz, M. Brio and G.P. Zank, {\it J. Plasma Phys.} {\bf 59}, 417-460 (1998)] is employed for fully relativistic fluid and plasma flows. Three essential modes: vortex, entropy and sound modes are derived where each of them is different from its nonrelativistic analogue. Vortex and entropy modes are formally solved in both the laboratory frame and the wave frame (co-moving with the wave front) while the sound mode is formally solved only in the wave frame at ultra-relativistic temperatures. In addition, the surface which is the boundary between the permitted and forbidden regions of the solution is introduced and determined. Finally a symmetry analysis is performed for the vortex mode equation up to both point and contact transformations. Fundamental invariants and a form of general solutions of point transformations along with some specific examples are also derived.
