%0 Journal Article
%T Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system<br>完整系统Nielsen方程的统一对称性与守恒量
%A Li Yuan-Cheng
%A Wang Xiao-Ming
%A Xia Li-Li
%A <br>李元成
%A 王小明
%A 夏丽莉
%J 物理学报
%D 2010
%I 
%X The unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system are studied. On the base of the Nielsen equation, we first give the Noether symmetry, the Lie symmetry and the Mei symmetry for the equation and the conserved quantities deduced from them, then the definition and the criterion for unified symmetry of Nielsen equation are presented, lastly, the Mei conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the result.
%K holonomic mechanical system
%K Nielsen equation
%K unified symmetry
%K conserved quantity<br>完整系统，Nielsen方程，统一对称性，守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=F2AB5AFDA4A15907A49982EC8E547D94&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=94C357A881DFC066&sid=943AC17D52E75B65&eid=56D8318C31E13244&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=21