On Transformations of the Rabelo Equations
| dc.creator | Sakovich, Anton | |
| dc.creator | Sakovich, Sergei | |
| dc.date | 2007-05-20 | |
| dc.date | 2007-09-03 | |
| dc.date.accessioned | 2026-07-07T09:34:07Z | |
| dc.date.available | 2026-07-07T09:34:07Z | |
| dc.description | We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations. Two of the Rabelo equations are found to be related to the sine-Gordon equation. The other two are transformed into a linear equation and the Liouville equation, and in this way their general solutions are obtained. | |
| dc.description | This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0705.2889 | |
| dc.identifier | http://arxiv.org/abs/0705.2889 | |
| dc.identifier | SIGMA 3 (2007), 086, 8 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159372 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.title | On Transformations of the Rabelo Equations | |
| dc.type | text |