AKNS hierarchy, self-similarity, string equations and the Grassmannian
| dc.contributor.author | Guil Guerrero, Francisco José | |
| dc.contributor.author | Mañas Baena, Manuel Enrique | |
| dc.date.accessioned | 2023-06-20T20:09:26Z | |
| dc.date.available | 2023-06-20T20:09:26Z | |
| dc.date.issued | 1994-03-21 | |
| dc.description | ©IOP Publishing LTD. One of the authors (MM) is indebted to Dr.P.Guha for initial collaboration and to Prof.L.Bonora and Prof.G.Wilson for providing their papers. | |
| dc.description.abstract | In this paper the Galilean, scaling and translational self-similarity conditions for the AKNS hierarchy are analysed geometrically in terms of the infinite-dimensional Grassmannian. The string equations of the one-matrix model correspond to the Galilean self-similarity condition for this hierarchy. We describe, in terms of the initial data for the zero-curvature 1 -form of the AKNS hierarchy, the moduli space of these self-similar solutions in the Sato Grassmannian. As a by-product we characterize the points in the Segal-Wilson Grassmannian corresponding to the Sachs rational solutions of the AKNS equation and to the Nakamura-Hirota rational solutions of the NLS equation. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/32527 | |
| dc.identifier.doi | 10.1088/0305-4470/27/6/034 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1088/0305-4470/27/6/034 | |
| dc.identifier.relatedurl | http://iopscience.iop.org | |
| dc.identifier.relatedurl | http://arxiv.org/abs/hep-th/9307017 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59704 | |
| dc.issue.number | 6 | |
| dc.journal.title | Journal of physics A-Mathematical and General | |
| dc.language.iso | eng | |
| dc.page.final | 2142 | |
| dc.page.initial | 2129 | |
| dc.publisher | IOP Publishing LTD | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Ordinary differential-equations | |
| dc.subject.keyword | Rational coefficients | |
| dc.subject.keyword | Tau-function | |
| dc.subject.keyword | Deformation | |
| dc.subject.keyword | Algebras | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | AKNS hierarchy, self-similarity, string equations and the Grassmannian | |
| dc.type | journal article | |
| dc.volume.number | 27 | |
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