Appell方程Mei对称性的新型守恒量

A Type of New Conserved Quantity of Mei Symmetry for Appell Equations

研究完整系统Appell方程的Mei对称性导致的新型守恒量。首先,研究一般无限小变换的Mei对称性;其次,得到系统Mei对称性直接导致的守恒量的条件和形式;最后,举例说明结果的应用。

A type of new conserved quantity of Mei symmetry of Appell equations for a holonomic system is studied. Under the infinitesimal transformation of groups,new conserved quantity of Mei symmetry of Appell e-quations for a holonomic system are obtained form definition and the criterion of Mei symmetry of Appell equa-tions. Finally,an example is given to illustrate the application of the result.