Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows

Percy Deift; Luen Chau Li

doi:10.1007/BF02100291

Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows

Percy Deift, Luen Chau Li

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the analog of the Miura maps and Bäcklund-Darboux transformations for a general class of equations of Toda type and for a generalized class of periodic Toda flows are isomorphisms of Poisson Lie groups.

Original language	English (US)
Pages (from-to)	201-214
Number of pages	14
Journal	Communications In Mathematical Physics
Volume	143
Issue number	1
DOIs	https://doi.org/10.1007/BF02100291
State	Published - Dec 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02100291

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abstract = "We show that the analog of the Miura maps and B{\"a}cklund-Darboux transformations for a general class of equations of Toda type and for a generalized class of periodic Toda flows are isomorphisms of Poisson Lie groups.",

author = "Percy Deift and Li, {Luen Chau}",

year = "1991",

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Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows

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