GENERALIZED LIE SYMMETRIES AND THE INTEGRABILITY OF GENERALIZED HOLMES-RAND NONLINEAR OSCILLATOR

Authors
QU CZ NIU PC
Citation
Cz. Qu et Pc. Niu, GENERALIZED LIE SYMMETRIES AND THE INTEGRABILITY OF GENERALIZED HOLMES-RAND NONLINEAR OSCILLATOR, International journal of non-linear mechanics, 32(6), 1997, pp. 1187-1192
Citations number
16
Categorie Soggetti
Mechanics
Journal title
International journal of non-linear mechanics → ACNP
ISSN journal
00207462
Volume
32
Issue
6
Year of publication
1997
Pages
1187 - 1192
Database
ISI
SICI code
0020-7462(1997)32:6<1187:GLSATI>2.0.ZU;2-V
Abstract
Generalized Lie symmetries and the integrability of generalized Holmes -Rand non-linear oscillator (GHRNO) are considered. The constraint whi ch the variable-coefficient functions must satisfy for the GHRNO to ha ve infinite-dimensional symmetry algebras is derived. The integral of motion for the GHRNO under this condition can be read off from the sym metry vector fields. The structure of the symmetry algebras is also pr esented. (C) 1997 Elsevier Science Ltd.