Discrete Levy transformations and Casorati determinant solutions of quadrilateral lattices
| dc.contributor.author | Liu, Yong-Jun | |
| dc.contributor.author | Mañas Baena, Manuel Enrique | |
| dc.date.accessioned | 2023-06-20T20:09:18Z | |
| dc.date.available | 2023-06-20T20:09:18Z | |
| dc.date.issued | 1998-03-02 | |
| dc.description | ©1998 Published by Elsevier Science B.V. | |
| dc.description.abstract | Sequences of discrete Levy and adjoint Levy transformations for multidimensional quadrilateral lattices are studied. After a suitable number of iterations we show how all the relevant geometrical features of the transformed quadrilateral lattice can be expressed in terms of multi-Casorati determinants. As an example we dress the Cartesian lattice. | |
| 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/32501 | |
| dc.identifier.doi | 10.1016/S0375-9601(97)00933-X | |
| dc.identifier.issn | 0375-9601 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1016/S0375-9601(97)00933-X | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.relatedurl | http://arxiv.org/abs/solv-int/9709007 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59697 | |
| dc.issue.number | 3 | |
| dc.journal.title | Physics letters A | |
| dc.language.iso | eng | |
| dc.page.final | 166 | |
| dc.page.initial | 159 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Soliton-solutions | |
| dc.subject.keyword | Equations | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Discrete Levy transformations and Casorati determinant solutions of quadrilateral lattices | |
| dc.type | journal article | |
| dc.volume.number | 239 | |
| dcterms.references | [1] L. V. Bogdanov and B. G. Konopelchenko, J. Phys. A: Math. & Gen. 28 (1995) L173. [2] J. Cieśliński, A. Doliwa and P. M. Santini, The Integrable Discrete Analogous of Orthogonal Coordinate Systems are Multidimensional Circular Lattices, to appear in Phys. Lett. A (1997). [3] G. Darboux, Le¸cons sur la théorie générale des surfaces IV, Liv. VIII, Chap. XII, Gauthier – Villars, Paris (1896). Reprinted by Chelsea Publishing Company, New York (1972). [4] A. Doliwa, S. V. Manakov and P. M. Santini, ¯∂-Reductions of the Multidimensional Quadrilateral Lattice I: The Multidimensional Circular Lattice, to appear (1997). [5] A. Doliwa, M. Mañas, L. Martínez Alonso, E. Medina and P. M. Santini, The Miwa Transformation and τ -Functions for Quadrilateral Lattices. Geometrical Interpretation, to appear (1997). [6] A. Doliwa and P. M. Santini, Multidimesional Quadrilateral Lattices are Integrable, to appear in Phys. Lett. A (1997). [7] A. Doliwa, P. M. Santini and M. Mañas, Transformations for Quadrilateral Lattices, to appear (1997). [8] L. P. Eisenhart, A Treatise on the Differential Geometry of Curves and Surfaces, Ginn and Co., Boston (1909). [9] N.C. Freeman and J.J.C. Nimmo, Phys. Lett. 95 A (1983) 1; Phys. Lett. 95 A (1983) 4; J. J. C. Nimmo, Phys. Lett. 99 A (1983) 281; N.C. Freeman, IMA J. Appl. Math. 32 (1984) 125. [10] E. S. Hammond, Ann. Math. 22 (1920) 238. [11] B. G. Konopelchenko and W. K. Shief, Lamé and Zakharov-Manakov systems: Combescure, Darboux and Bäcklund transformations, Preprint AM93/9, UNSW (1993). [12] L. Levy, J. l’École Polytecnique 56 (1886) 63. [13] Q. P. Liu and M. Mañas, Sequences of Levy transformations and multiWro´nski determinant solutions of the Darboux system, dg-ga/9707013 (1997). [14] M. Mañas, A. Doliwa and P. M. Santini, Phys. Lett. 232 A (1997) 365. [15] Y. Ohta, R. Hirota, S. Tsujimoto and T. Imai, J. Phys. Soc. Japan 62 (1993) 1872. [16] O. Schreier and E. Sperner, Introduction to Modern Algebra and Matrix Theory, Chelsea Publishing Company, New York (1951). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 0d5b5872-7553-4b33-b0e5-085ced5d8f42 | |
| relation.isAuthorOfPublication.latestForDiscovery | 0d5b5872-7553-4b33-b0e5-085ced5d8f42 |
Download
Original bundle
1 - 1 of 1
