Gauge symmetry origin of Backlund transformations for Painleve equations

被引：3

作者：

Alves, V. C. C. ^{[1
]}

Aratyn, H. ^{[2
]}

Gomes, J. F. ^{[1
]}

Zimerman, A. H. ^{[1
]}

机构：

[1] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271,Bloco 2, BR-01140070 Sao Paulo, Brazil

[2] Univ Illinois, Dept Phys, 845 W Taylor St Chicago, Chicago, IL 60607 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2021年 / 54卷 / 19期

关键词：

integrability; Painleve equations; Backlund symmetries; dressing chain; TODA; CHAINS; HIERARCHIES;

D O I：

10.1088/1751-8121/abf2ee

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We identify the self-similarity limit of the second flow of sl(N) mKdV hierarchy with the periodic dressing chain thus establishing a connection to A(N-1)((1)) invariant Painleve equations. The A(N-1)((1)) Backlund symmetries of dressing equations and Painleve 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) over cap (N) endowed with a principal gradation.

引用

页数：22

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