时间尺度上Nielsen方程的Mei对称性导致的两类新型守恒量  

Two Kinds of New Conserved Quantities Caused by Mei Symmetry of Nielsen Equation on Time Scales

作　　者：孔楠 朱建青 KONG Nan;ZHU Jianqing(Department of Basic Education,Sanda University,Shanghai 201209,China;School of Mathematics Science,Suzhou University of Science and Technology,Suzhou 215009,China)

机构地区：[1]上海杉达学院基础教育部,上海201209 [2]苏州科技大学数学科学院,江苏苏州215009

出　　处：《河南教育学院学报（自然科学版）》2023年第1期31-35,共5页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：国家自然科学基金(11972241,11572212)。

摘　　要：研究时间尺度上单自由度非迁移完整力学系统Nielsen方程的Mei对称性,及由Mei对称性导致的两类新型Mei守恒量。给出系统的Mei对称性定义和判据方程,得到系统Mei对称性导致的两类新型Mei守恒量的条件和形式,并举例说明结果。Studied the Mei symmetries for the Nielsen equations of one-degree-of-freedom nonmigratory holonomic mechanical systems on time scales and two new types of conserved quantities caused by Mei symmetries.Under the infinitesimal transformation of groups on time scales,two new structural equation and two new types of Mei conserved quantities were obtained from the definition and criterion equation of Mei symmetry.At last,gave one example for them to illustrate the results.

关 键 词：时间尺度 NIELSEN方程 MEI对称性 结构方程 新型Mei守恒量 

分 类 号：O316[理学—一般力学与力学基础]