Some Aspects of Moyal Deformed Integrable Systems
| dc.creator | Dafounansou, O. | |
| dc.creator | Boukili, A. El | |
| dc.creator | Sedra, M. B. | |
| dc.date | 2005-08-23 | |
| dc.date | 2005-11-19 | |
| dc.date.accessioned | 2026-07-07T12:50:03Z | |
| dc.date.available | 2026-07-07T12:50:03Z | |
| dc.description | Besides its various applications in string and D-brane physics, the $θ$-deformation of space (-time) coordinates (naively called the noncommutativity of coordinates), based on the $\star$-product, behaves as a more general framework providing more mathematical and physical informations about the associated system. Similarly to the Gelfand-Dickey framework of pseudo differential operators, the Moyal $θ$-deformation applied to physical problems makes the study more systematic. Using these facts as well as the backgrounds of Moyal momentum algebra introduced in previous works [21, 25, 26], we look for the important task of studying integrability in the $θ$-deformation framework. The main focus is on the $θ$-deformation version of the Lax representation of two principal examples: the $sl_2$ KdV$_θ$ equation and the Moyal $θ$-version of the Burgers systems. Important properties are presented. | |
| dc.description | 16 pages, Latex, Corrected Typos in p.9,10,12 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0508173 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0508173 | |
| dc.identifier | Chin. J. Phys. 44:274, 2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222572 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Some Aspects of Moyal Deformed Integrable Systems | |
| dc.type | text |