主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
提出椭圆旋转对称群，它是一个单参数阿贝尔群。
The ellipse rotating symmetric group is proposed, which is an Abelian group.
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