Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass  

作　　者：杨新芳 贾利群 崔金超 罗绍凯 

机构地区：[1]School of Science,Jiangnan University [2]Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2010年第3期36-40,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10572021);the Preparatory Research Foundation of Jiangnan University,China (Grant No. 2008LYY011)

摘　　要：Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic, non-conservative system of Chetaev＇s type with variable mass are studied. The differential equations of motion of the Nielsen equation for the system, the definition and criterion of Mei symmetry, and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic, non-conservative system of Chetaev＇s type with variable mass are studied. The differential equations of motion of the Nielsen equation for the system, the definition and criterion of Mei symmetry, and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

关 键 词：variable mass Nielsen equation Mei symmetry Mei conserved quantity 

分 类 号：O175.2[理学—数学]