Open AccessLie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion
Author(s) -
Yongjun Xie,
Jia Li-Qun,
Yang Xin-fang
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.030201
Subject(s) - conserved quantity , infinitesimal , symmetry (geometry) , mathematical physics , motion (physics) , physics , dynamical system (definition) , classical mechanics , dynamical systems theory , equations of motion , relative motion , mathematical analysis , mathematics , quantum mechanics , geometry
Lie symmetry and Hojman conserved quantity for Nielsen equations in a dynamical system of the relative motion are investigated. The definition and the criterion of Lie symmetry of Nielsen equations in a dynamical system of the relative motion under the infinitesimal transformations of groups are given. The expressions of the determining equation of Lie symmetry of Nielsen equations and Hojman conserved quantity deduced directly from Lie symmetry in a dynamical system of the relative motion are obtained. An example is given to illustrate the application of the results.