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.
It is shown that for some relatively simple conditions, exact analytical solutions of the non linear consolidation equation can be obtained by using the approach of the transformation of Lie group.
研究表明，对于一些相对简单的边界条件，通过李群变换的方法可以得到非线性固结方程的完整解析解。
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The transformation of the value added tax which was experimented in northeastern China more than 2 years ago has achieved good performance. Yet some problems still lie in it.