两族KdV方程的对称群与它们之间的变换

The Symmetry Groups and Transformation Relations of Two KdV Equations

计算了ＫｄＶ方程及新ＫｄＶ方程的对称群，考察了ＫｄＶ方程与新ＫｄＶ方程族的对称群的相似关系，由此求出了两族ＫｄＶ方程间的变换函数。

In this paper, we obtain the symmetry groups for KdV equations and new KdV equtions, and investigate the similar relations befween them, then using these relations we obtain the transformation functions between the KdV equations and the new KdV equations.