On completeness of the Ribaucour transformations for triply orthogonal curvilinear coordinate systems in R^3
| dc.creator | Ganzha, E. I. | |
| dc.date | 1996-06-11 | |
| dc.date | 1997-01-20 | |
| dc.date.accessioned | 2026-07-07T09:09:04Z | |
| dc.date.available | 2026-07-07T09:09:04Z | |
| dc.description | In this paper we solve positively the problem of (local) density of solutions of the (2+1)-dimentional integrable system describing triply orthogonal curvilinear coordinates in R^3 (a (2+1)-dimensional generalization of the 3-wave system) obtainable from a given initial solution with consecutive Bäcklund transformations (called Ribaucour transformations in classical differential geometry) in the space of all solutions of the system in question. | |
| dc.description | 7 pages (26 Kbytes), standard LaTeX 2.09, run twice to get the right cross-references. Resubmitted with the only correction: acknowledgment of grant RBFR 96-01-00050 support | |
| dc.identifier | https://arxiv.org/abs/solv-int/9606002 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9606002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150943 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | On completeness of the Ribaucour transformations for triply orthogonal curvilinear coordinate systems in R^3 | |
| dc.type | text |