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On twistor solutions of the DKP equation

dc.contributor.authorGuil Guerrero, Francisco José
dc.contributor.authorMañas Baena, Manuel Enrique
dc.contributor.authorMartínez Alonso, Luis
dc.date.accessioned2023-06-20T10:58:23Z
dc.date.available2023-06-20T10:58:23Z
dc.date.issued2003-06-13
dc.description©2003 IOP Publishing Ltd. This work is partially supported by the DGESIC Proyecto PB98-0821.
dc.description.abstractThe factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are considered. A method to deal with these reductions is developed for the construction of classes of nontrivial solutions of the dKP equation.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDGESIC
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/32563
dc.identifier.doi10.1088/0305-4470/36/23/311
dc.identifier.issn0305-4470
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0305-4470/36/23/311
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/nlin/0211020
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51536
dc.issue.number23
dc.journal.titleJournal of physics A: Mathematical and general
dc.language.isoeng
dc.page.final6472
dc.page.initial6457
dc.publisherIOP Publishing
dc.relation.projectIDPB98-0821
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordDispersionless kp hierarchy
dc.subject.keywordIntegrable hierarchies
dc.subject.keywordWhitham hierarchy
dc.subject.keywordBenney equations
dc.subject.keywordReductions
dc.subject.keywordModels
dc.subject.keywordLimit
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleOn twistor solutions of the DKP equation
dc.typejournal article
dc.volume.number36
dcterms.references[1] Lebedev D and Manin Yu 1979 Phys. Lett. A 74 154 [2] Zakharov V E 1980 Func. Anal. Priloz. 14 89 Zakharov V E 1981 Physica D 3 193 [3] Kodama Y 1988 Phys. Lett. A 129 223 Kodama Y 1988 Prog. Theor. Phys. Suppl. 95 184 [4] Kodama Y and Gibbons J 1989 Phys. Lett. A 135 167 [5] Takasaki T and Takebe T 1992 Int. J. Mod. Phys. A 7 (Suppl. 1B) 889 Takasaki T and Takebe T 1995 Rev. Math. Phys. 7 743 [6] Kupershmidt B A 1990 J. Phys. A: Math. Gen. 23 871 [7] Krichever I M 1992 Commun. Pure. Appl. Math. 47 437 [8] Krichever I M 1989 Funct. Anal. Appl. 22 200 Krichever I M 1992 Commun. Math. Phys. 143 415 [9] Saveliev M V 1992 Theor. Math. Phys. 92 457 [10] Zakharov V E 1994 Dispersionless limit of integrable systems in 2 + 1 dimensions Singular Limits of Dispersive Waves (Nato Adv. Sci. Inst. Ser. B Phys. 320) ed N M Ercolani et al (New York: Plenum). [11] Gibbons J and Tsarev S P 1996 Phys. Lett. A 211 19 Gibbons J and Tsarev S P 1996 Phys. Lett. A 258 263 [12] Mineev-Weinstein M, Wiegmann P B and Zabrodin A 2000 Phys. Rev. Lett. 84 5106 [13] Wiegmann P B and Zabrodin A 2000 Commun. Math. Phys 213 523 [14] Dunajski M, Mason L J and Tod P 2001 J. Geom. Phys. 37 63–93 [15] Geogdzhaev V V 1985 Sov. Phys. Dokl. 30 840 [16] Kodama Y 1990 Phys. Lett. A 147 477 [17] Geogdzhaev V V 1987 Physica D 87 168 [18] Konopelchenko B and Martínez Alonso L 2001 Phys. Lett. A 286 161 [19] Mañas M, Martínez Alonso L and Medina E 2002 J. Phys. A: Math. Gen. 35 401 [20] Dunajski M and Tod P 2002 Preprint nlin.SI/0204043
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relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b

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