Solutions of the dispersionless Toda hierarchy constrained by string equations

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dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.date.accessioned2023-06-20T11:03:19Z
dc.date.available2023-06-20T11:03:19Z
dc.date.issued2004-12-12
dc.description©IOP Publishing. The authors are grateful to Prof. Manuel Mañas for many useful discussions.
dc.description.abstractSolutions of the Riemann-Hilbert problem implementing the twistorial structure of the dispersionless Toda (dToda) hierarchy are obtained. Two types of string equations are considered which characterize solutions arising in hodograph sectors and integrable structures of two-dimensional quantum gravity and Laplacian growth problems.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34357
dc.identifier.doi10.1088/0305-4470/37/50/005
dc.identifier.issn0305-4470
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0305-4470/37/50/005
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/nlin/0409002
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51652
dc.issue.number50
dc.journal.titleJournal of physics A: Mathematical and general
dc.language.isoeng
dc.page.final12017
dc.page.initial12005
dc.publisherIOP Publishing
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordBoyer-Finley equation
dc.subject.keywordEinstein-Weyl spaces
dc.subject.keywordHodograph transformation
dc.subject.keywordIntegrable hierarchies
dc.subject.keywordHeavenly equation
dc.subject.keywordGroup foliation
dc.subject.keywordKp hierarchy
dc.subject.keywordTau-function
dc.subject.keywordSymmetries
dc.subject.keywordLimit
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleSolutions of the dispersionless Toda hierarchy constrained by string equations
dc.typejournal article
dc.volume.number37
dcterms.references•[1] Takasaki K and Takebe T 1991 Lett. Math. Phys. 23 205 •[2] Takasaki K and Takebe T 1993 Lett. Math. Phys. 28 165 •[3] Takasaki K and Takebe T 1995 Rev. Math. Phys. 7 743 •[4] Dijkgraaf R, Moore G and Plesser R 1993 Nucl. Phys. B 394 356 •[5] Hanany A, Oz Y and Plesser M R 1994 Nucl. Phys. B 425 150 •[6] Takasaki K 1995 Commun. Math. Phys. 170 101 •[7] Wiegmann P W and Zabrodin P B 2000 Commun. Math. Phys. 213 523 •[8] Mineev-Weinstein M, Wiegmann P W and Zabrodin P B 2000 Phys. Rev. Lett. 84 5106 •[9] Boyer C P and Finley J D 1982 J. Math. Phys. 23 1126 •[10] Eguchi T, Gilkey P B and Hanson A J 1980 Phys. Rep. 66 213 •[11] Calderbank D M J and Tod K P 2001 Diff. Geom. Appl. 14 199 •[12] Jones P E and Tod K P 1985 Class. Quantum Grav. 2 565 •[13] Ward R S 1990 Class. Quantum Grav. 7 L95 •[14] Krichever I M 1992 Commun. Pure. Appl. Math. 47 437 •[15] Guil F, Mañas M and Martinez Alonso L 2003 J. Phys. A: Math. Gen. 36 4047 •[16] Mañas M and Martinez Alonso L 2004 Phys. Lett. A 320 383 •[17] Ferapontov E V, Korotkin D A and Shramchenko V A 2002 Class. Quantum Grav. 19 L205 •[18] Martina L, Sheftel M B and Winternitz P 2001 J. Phys. A: Math. Gen. 34 9243 •[19] Sheftel M B 2003 Theor. Math. Phys. 137 1743 •[20] Takasaki K and Takebe T 1992 Int. J. Mod. Phys. A 7 ((Suppl 1)) 889 •[21] Guil F, Mañas M and Martinez Alonso L 2003 J. Phys. A: Math. Gen. 36 6457 •[22] Martinez Alonso L and Mañas M 2003 J. Math. Phys. 44 3294 •[23] Teodorescu R, Bettelheim E, Agam O, Zabrodin A and Wiegmann P 2004 Normal random matrix ensemble as a growth problem Preprint hep-th/0401165
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relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b

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