Open AccessMei symmetry, Noether symmetry and Lie symmetry of an Emden system
Author(s) -
GU Shu-long,
Hongbin Zhang
Publication year - 2006
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.55.5594
Subject(s) - noether's theorem , symmetry (geometry) , physics , symmetry number , global symmetry , explicit symmetry breaking , mathematical physics , theoretical physics , spontaneous symmetry breaking , quantum mechanics , symmetry breaking , mathematics , geometry , lagrangian
The Mei symmetry, i.e. the form invariance, of an Emden system is studied. The definition and determining equation of Mei symmetry in the Emden system are given. The relations between the Mei symmetry,the Lie symmetry and the Noether symmetry are studied, and the conserved quantities of the Emden system are obtained. An example is given to illustrate the application of the results.