摘要
用修改 CK 的直接方法，我们造在新答案和旧的和 Snd 一些之间的关系的新准确答案(3+1 ) 维的 potential-YTSFequation。基于不变的组理论，谎言点对称组和谎言对称(3+1 ) 维的 potential-YTSF 方程被获得。我们也与给定的谎言对称得到方程的能量守恒定律。
Using the modified find some new exact solutions to Lie point symmetry groups and also get conservation laws, of the CK＇s direct method, we build the relationship between new solutions and old ones and the （3＋1）-dimensional potentiaial-YTSF equation. Baaed on the invariant group theory, Lie symmetries of the （3＋1）-dimensional potential-YTSF equation are obtained. We equation with the given Lie symmetry.
基金
The project supported by the Natural Science Foundation of Shandong Province of China under Grant No. 2004zx16 tCorresponding author, E-maih zzlh100@163.com
关键词
精确解法
守恒法则
对称群
三维空间势能-YTSF方程
new exact solutions, Lie point symmetry groups, conservation laws, （3＋1）-dimensional potential-YTSF equation
