Gauge symmetry origin of Bäcklund transformations for Painlevé equations
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Data
2021-05-01
Autores
Alves, V. C.C. [UNESP]
Aratyn, H
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]
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Resumo
We 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.
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Backlund symmetries dressing chain, Integrability, Painleve equations
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Journal of Physics A: Mathematical and Theoretical, v. 54, n. 19, 2021.