Lakshmanan, M. ; Sahadevan, R. (1991) Generalized lie symmetries and complete integrability of certain nonlinear Hamiltonian systems with three degrees of freedom Journal of Mathematical Physics, 32 (1). pp. 75-83. ISSN 0022-2488
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Official URL: http://link.aip.org/link/?JMAPAQ/32/75/1
Related URL: http://dx.doi.org/10.1063/1.529097
Abstract
A systematic method for investigating the existence of nontrivial generalized Lie symmetries is presented and the associated integrals of motion for nonlinear oscillator systems with three-degrees of freedom defined in terms of the Lagrangian by L= (1/(2) (x.2+y.2+z.2)-V(x,y,z) are constructed. Then the method is applied to study the integrability properties of quartically and cubically coupled nonlinear oscillators with three degrees of freedom. Compatibility with the Painleve property is also investigated.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 19613 |
| Deposited On: | 22 Nov 2010 12:18 |
| Last Modified: | 08 Jun 2011 07:21 |
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