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
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.