Poisson Actions and Scattering Theory for Integrable Systems
| dc.creator | Terng, Chuu-Lian | |
| dc.creator | Uhlenbeck, Karen | |
| dc.date | 1997-07-07 | |
| dc.date.accessioned | 2026-07-07T09:13:07Z | |
| dc.date.available | 2026-07-07T09:13:07Z | |
| dc.description | Conservation laws, heirarchies, scattering theory and Bäcklund transformations are known to be the building blocks of integrable partial differential equations. We identify these as facets of a theory of Poisson group actions, and apply the theory to the ZS-AKNS nxn heirarchy (which includes the non-linear Schrödinger equation, modified KdV, and the n-wave equation). We also discuss a number of applications in geometry, including the sine-Gordon equation, harmonic maps, Schrödinger flows on Hermitian symmetric spaces, Darboux orthogonal coordinates, and isometric immerisons of one space form in another. | |
| dc.description | 85 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9707004 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9707004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152256 | |
| dc.subject | Differential Geometry | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Poisson Actions and Scattering Theory for Integrable Systems | |
| dc.type | text |