Gauge symmetry origin of Bäcklund transformations for Painlevé equations

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversity of Illinois at Chicago
dc.date.accessioned2021-06-25T10:59:04Z
dc.date.accessioned2022-12-19T22:31:53Z
dc.date.available2021-06-25T10:59:04Z
dc.date.available2022-12-19T22:31:53Z
dc.date.created2021-06-25T10:59:04Z
dc.date.issued2021-05-01
dc.identifierJournal of Physics A: Mathematical and Theoretical, v. 54, n. 19, 2021.
dc.identifier1751-8121
dc.identifier1751-8113
dc.identifierhttp://hdl.handle.net/11449/207671
dc.identifier10.1088/1751-8121/abf2ee
dc.identifier2-s2.0-85105040813
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5388268
dc.description.abstractWe identify the self-similarity limit of the second flow of sl(N)mKdVhierarchy with the periodic dressing chain thus establishing a connection to A(1) N-1 invariant Painlev'e equations. The A(1) N-1 Bcklund symmetries of dressing equations and Painlev'e equations are obtained in the self-similarity limit of gauge transformations of the mKdV hierarchy realized as zero-curvature equations on the loop algebra sl (N) endowed with a principal gradation.
dc.languageeng
dc.relationJournal of Physics A: Mathematical and Theoretical
dc.sourceScopus
dc.subjectBacklund symmetries dressing chain
dc.subjectIntegrability
dc.subjectPainleve equations
dc.titleGauge symmetry origin of Bäcklund transformations for Painlevé equations
dc.typeArtículos de revistas


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