Special Isothermic Surfaces and Solitons
| dc.creator | Musso, Emilio | |
| dc.creator | Nicolodi, Lorenzo | |
| dc.date | 2001-08-24 | |
| dc.date.accessioned | 2026-07-07T08:47:33Z | |
| dc.date.available | 2026-07-07T08:47:33Z | |
| dc.description | We establish a correspondence between Darboux's special isothermic surfaces of type (A,0,C,D) and the solutions of the second order PDE : uΔ(u)-|\nabla(u)|^{2}+Φ^{4}=s, s \in R. We then use the classical Darboux transformation for isothermic surfaces to construct a Bäcklund transformation for this equation and prove a superposition formula for its solutions. As an application we discuss 1 and 2-soliton solutions and the corresponding surfaces. | |
| dc.description | 18 pages, 5 figures, to appear in the AMS Contemporary Mathematics Series, "Proceedings of the Congress in memory of Alfred Gray" (eds. M. Fernandez, J.A. Wolf) | |
| dc.identifier | https://arxiv.org/abs/math/0108170 | |
| dc.identifier | http://arxiv.org/abs/math/0108170 | |
| dc.identifier | Contemp. Math. 288 (2001), 129-148 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143636 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A30, 53A05 | |
| dc.title | Special Isothermic Surfaces and Solitons | |
| dc.type | text |