From integrable nets to integrable lattices
| dc.contributor.author | Mañas Baena, Manuel Enrique | |
| dc.date.accessioned | 2023-06-20T20:08:59Z | |
| dc.date.available | 2023-06-20T20:08:59Z | |
| dc.date.issued | 2002-05 | |
| dc.description | ©2002 American Institute of Physics. This work was partially supported by Direction General de Enseñanza Superior e Investigación Científica proyecto PB98-0821 | |
| dc.description.abstract | Inspired by the results of Jonas, Einsenhart, Demoulin, and Bianchi on the permutability property of classical geometrical transformations of conjugate nets and its reductions-of pseudo-orthogonal, pseudo-symmetric, and pseudo-Egorov types-dressing transformations of the N-component KP hierarchy (described within the Grassmannian) are used to generate quadrilateral lattices and its corresponding reductions. As a byproduct we get the corresponding discrete dressing transformations; in particular, we characterize the vectorial fundamental discrete transformations preserving the symmetric lattice. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Direction General de Enseñanza Superior e Investigación Científica | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/32451 | |
| dc.identifier.doi | 10.1063/1.1454185 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1063/1.1454185 | |
| dc.identifier.relatedurl | http://scitation.aip.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59683 | |
| dc.issue.number | 5 | |
| dc.journal.title | Journal of mathematical physics | |
| dc.language.iso | eng | |
| dc.page.final | 2546 | |
| dc.page.initial | 2523 | |
| dc.publisher | American Institute of Physics | |
| dc.relation.projectID | PB98-0821 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Circular lattices | |
| dc.subject.keyword | Lame equations | |
| dc.subject.keyword | Ribaucour transformations | |
| dc.subject.keyword | Quadrilateral lattices | |
| dc.subject.keyword | Coordinate systems | |
| dc.subject.keyword | Dressing methods | |
| dc.subject.keyword | Conjugate nets | |
| dc.subject.keyword | Geometric nets | |
| dc.subject.keyword | Field-theory | |
| dc.subject.keyword | Discrete | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | From integrable nets to integrable lattices | |
| dc.type | journal article | |
| dc.volume.number | 43 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 0d5b5872-7553-4b33-b0e5-085ced5d8f42 | |
| relation.isAuthorOfPublication.latestForDiscovery | 0d5b5872-7553-4b33-b0e5-085ced5d8f42 |
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