Open AccessLie symmetries and Noether symmetries
Author(s) -
P. G. L. Leach
Publication year - 2012
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm120625015l
Subject(s) - noether's theorem , mathematics , homogeneous space , noetherian , lagrangian , mathematical physics , pure mathematics , differential (mechanical device) , algebra over a field , physics , geometry , thermodynamics
We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associated of a differential equation derived from a Lagrangian are in fact noetherian. The source of the misunderstanding lies in the nonuniqueness of the Lagrangian