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Generalized lie symmetries and the integrability of generalized Holmes-Rand non-linear oscillator |
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| Authors: | Qu Changzheng Niu Pengcheng |
| Affiliation: | * Department of Mathematics, Northwest University, Xi'an, 7100069, People's Republic of China b CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, People's Republic of China † Department of Mechanics, Northwest Polytechnical University, Xi'an, 710072, People's Republic of China |
| Abstract: | Generalized Lie symmetries and the integrability of generalized Holmes-Rand non-linear oscillator (GHRNO) are considered. The constraint which the variable-coefficient functions must satisfy for the GHRNO to have infinite-dimensional symmetry algebras is derived. The integral of motion for the GHRNO under this condition can be read off from the symmetry vector fields. The structure of the symmetry algebras is also presented. |
| Keywords: | symmetry group integrability non-linear oscillator |
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