HIDDEN SYMMETRIES OF ENERGY-CONSERVING DIFFERENTIAL-EQUATIONS

Authors
GUO A ABRAHAMSHRAUNER B
Citation
A. Guo et B. Abrahamshrauner, HIDDEN SYMMETRIES OF ENERGY-CONSERVING DIFFERENTIAL-EQUATIONS, IMA journal of applied mathematics, 51(2), 1993, pp. 147-153
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
IMA journal of applied mathematics → ACNP
ISSN journal
02724960
Volume
51
Issue
2
Year of publication
1993
Pages
147 - 153
Database
ISI
SICI code
0272-4960(1993)51:2<147:HSOED>2.0.ZU;2-7
Abstract
Hidden symmetries of second-order differential equations which are inv ariant under a one-parameter Lie point group and are of the energy-con serving form are analysed as an inverse problem for some particular ca ses. These hidden symmetries occur as additional one-parameter Lie poi nt group symmetries in the reduced first-order differential equations.