Symplectic forms in the theory of solitons
| dc.creator | Krichever, I. M. | |
| dc.creator | Phong, D. H. | |
| dc.date | 1997-08-29 | |
| dc.date.accessioned | 2026-07-07T04:23:34Z | |
| dc.date.available | 2026-07-07T04:23:34Z | |
| dc.description | We develop a Hamiltonian theory for 2D soliton equations. In particular, we identify the spaces of doubly periodic operators on which a full hierarchy of commuting flows can be introduced, and show that these flows are Hamiltonian with respect to a universal symplectic form $ω={1\over 2}\r_{\infty} <Ψ_0^*δL\wedgeδΨ_0>\d k$. We also construct other higher order symplectic forms and compare our formalism with the case of 1D solitons. Restricted to spaces of finite-gap solitons, the universal symplectic form agrees with the symplectic forms which have recently appeared in non-linear WKB theory, topological field theory, and Seiberg-Witten theories. We take the opportunity to survey some developments in these areas where symplectic forms have played a major role. | |
| dc.description | 76 pages, Tex, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9708170 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9708170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55082 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Symplectic forms in the theory of solitons | |
| dc.type | text |