In this paper, the discrete Lie point symmetry group analysis method is applied on the discrete nonlinear Klein-Gordon equation. Since this equation is not easy to be reduced by Lie point symmetry method, firstly, this paper introduces a similarity transformation to change this equation into a new equation which can be reduced easily by Lie point symmetry method. Then the new equation is reduced by Lie point symmetry method and its invariant solutions are obtained. Finally, the solutions of the primal discrete nonlinear Klein- Gordon equation are acquired by the similarity transformation again.
原文出处：汉斯《应用数学进展》期刊
原文标题：非线性离散的Klein-Gordon方程的对称约化Symmetries of the Discrete Nonlinear Klein-Gordon Eq-uation