Deformation of surfaces, integrable systems and Self-Dual Yang-Mills equation
| dc.creator | Kozhamkulov, T. A. | |
| dc.creator | Myrzakul, Kuralay | |
| dc.creator | Myrzakulov, R. | |
| dc.date | 2002-07-25 | |
| dc.date.accessioned | 2026-07-07T05:34:13Z | |
| dc.date.available | 2026-07-07T05:34:13Z | |
| dc.description | We conjecture that many (maybe all) integrable equations and spin systems in 2+1 dimensions can be obtained from the (2+1)-dimensional Gauss-Mainardi-Codazzi and Gauss-Weingarten equations, respectively. We also show that the (2+1)-dimensional Gauss-Mainardi-Codazzi equation which describes the deformation (motion) of surfaces is the exact reduction of the Yang-Mills-Higgs-Bogomolny and Self-Dual Yang-Mills equations. On the basis of this observation, we suggest that the (2+1)-dimensional Gauss-Mainardi-Codazzi equation is a candidate to be integrable and the associated linear problem (Lax representation) with the spectral parameter is presented. | |
| dc.description | 7 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0207046 | |
| dc.identifier | http://arxiv.org/abs/nlin/0207046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80286 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Deformation of surfaces, integrable systems and Self-Dual Yang-Mills equation | |
| dc.type | text |