Classical differential geometry and integrability of systems of hydrodynamic type
| dc.creator | Tsarev, S. P. | |
| dc.date | 1993-03-16 | |
| dc.date.accessioned | 2026-07-07T09:14:02Z | |
| dc.date.available | 2026-07-07T09:14:02Z | |
| dc.description | Remarkable parallelism between the theory of integrable systems of first-order quasilinear PDE and some old results in projective and affine differential geometry of conjugate nets, Laplace equations, their Bianchi-Baecklund transformations is exposed. These results were recently applied by I.M.Krichever and B.A.Dubrovin to prove integrability of some models in topological field theories. Within the geometric framework we derive some new integrable (in a sense to be discussed) generalizations describing N-wave resonant interactions. | |
| dc.description | 12 pages. To be published in: Proc. NATO ARW "Applications of analytic and geometric methods to nonlinear differential equations, 14-19 July 1992, Exeter, UK) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9303092 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9303092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152530 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Classical differential geometry and integrability of systems of hydrodynamic type | |
| dc.type | text |