Singular sector of the KP hierarchy, $\bar{\partial}$-operators of non-zero index and associated integrable systems
| dc.creator | Konopelchenko, Boris G. | |
| dc.creator | Alonso, Luis Martinez | |
| dc.creator | Medina, Elena | |
| dc.date | 1998-05-29 | |
| dc.date.accessioned | 2026-07-07T06:17:36Z | |
| dc.date.available | 2026-07-07T06:17:36Z | |
| dc.description | Integrable hierarchies associated with the singular sector of the KP hierarchy, or equivalently, with $\dbar$-operators of non-zero index are studied. They arise as the restriction of the standard KP hierarchy to submanifols of finite codimension in the space of independent variables. For higher $\dbar$-index these hierarchies represent themselves families of multidimensional equations with multidimensional constraints. The $\dbar$-dressing method is used to construct these hierarchies. Hidden KdV, Boussinesq and hidden Gelfand-Dikii hierarchies are considered too. | |
| dc.description | 45 pages, LaTeX 2.09 with epsf,amstex and amssymb styles | |
| dc.identifier | https://arxiv.org/abs/solv-int/9806001 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9806001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94439 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Singular sector of the KP hierarchy, $\bar{\partial}$-operators of non-zero index and associated integrable systems | |
| dc.type | text |