中文摘要：

对处于相对论性振荡的无磁化等离子体中的纵、横等离激元色散方程进行数值求解，得到比较全面的色散关系图像．在极端相对论情况下，我们的数值计算结果与解吸结果吻合．同时，将我们的计算范围扩展到适中相对论温度以及弱相对论温度，得到完全相对论性无磁化等离子体色散关系图像．最后，根据等离子体的色散特性，对不同温度下的色散曲线进行数值拟合，得到了色散关系数值解．

英文摘要：

The dispersion relationships of the unmagnetized relativistic plasmons are obtained by solving the related dispersion equations numerically. In the case of ultra - relativistic, our numerical solutions are coinciding with the analytical results. In the meantime, the moderate and weakly relativistic cases are also calculated to get the fully relativistic plasmons dispersion relationship. In the end of this paper, according to the dispersive characteristic of the plasmas, the numerical fit dispersion relationships of different temperature are given.