Pfaffian solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon equations
| dc.contributor.author | Liu, Q. P. | |
| dc.contributor.author | Mañas Baena, Manuel Enrique | |
| dc.date.accessioned | 2023-06-20T20:09:11Z | |
| dc.date.available | 2023-06-20T20:09:11Z | |
| dc.date.issued | 1998-09-24 | |
| dc.description | ©1998 Elsevier Science B.V. All rights reserved. | |
| dc.description.abstract | We reduce the vectorial binary Darboux transformation for the Manin-Radul supersymmetric KdV system in such a way that it preserves the Manin-Radul-Mathieu supersymmetric KdV equation reduction. Expressions in terms of bosonic Pfaffians are provided for transformed solutions and wave functions. We also consider the implications of these results for the supersymmetric sine-Gordon 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/32485 | |
| dc.identifier.doi | 10.1016/S0370-2693(98)00852-1 | |
| dc.identifier.issn | 0370-2693 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1016/S0370-2693(98)00852-1 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59692 | |
| dc.issue.number | 3-abr. | |
| dc.journal.title | Physics letters B | |
| dc.language.iso | eng | |
| dc.page.final | 310 | |
| dc.page.initial | 306 | |
| dc.publisher | Elsevier Science BV | |
| dc.rights | Atribución 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/es/ | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Supersymmetric extension | |
| dc.subject.keyword | Transformation | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Pfaffian solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon equations | |
| dc.type | journal article | |
| dc.volume.number | 436 | |
| dcterms.references | [1]. L. Álvarez-Gaume, H. Itoyama, J.L. Mañes, A. Zadra, Int. J. Mod. Phys. A 7 (1992) 5337; L. Álvarez- Gaume, K. Becker, M. Becker, R. Emparan, J.L. Mañes, Int. J. Mod. Phys. A 8 (1993) 2297. [2]. T. Inami, H. Kanno, Commun. Math. Phys. 136 (1991) 519. [3]. Q.P. Liu, Lett. Math. Phys. 35 (1995) 115. [4]. Q.P. Liu, M. Manas, Phys. Lett. B 394 (1997) 337. [5]. Q.P. Liu, M. Mañas, Phys. Lett. B 396 (1997) 133. [6] Q.P. Liu, M. Mañas in Supersimmetry and Integrable Models (Lec. Not. Phys. 502) eds. H. Aratyn, T. Imbo, W.-Y. Keung, U. Sukhatme, Springer-Verlag (1998). [7]. Q.P. Liu, M. Mañas, Pfaffian Form of the Grammian Determinant Solutions of the BKP Hierarchy solv-int/ 9806005. [8]. P. Mathieu, Phys. Lett. B 203 (1988) 287, J. Math. Phys. 29 (1988) 2499. [9]. Yu. I. Manin, A. Radul, Commun. Math. Phys. 98 (1985) 65. [10]. J.J.C. Nimmo in Applications of analytic and geometric methods to nonlinear differential equations, ed. P. Clarkson, Kluwer Academic Publisher (1995) . [11]. M. Wadati, H. Sanuki, K. Konno, Prog. Theor. Phys. 53 (1975) 419. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 0d5b5872-7553-4b33-b0e5-085ced5d8f42 | |
| relation.isAuthorOfPublication.latestForDiscovery | 0d5b5872-7553-4b33-b0e5-085ced5d8f42 |
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