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

13 Scopus citations

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

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF02100291

Cite this

@article{96dcd3db53ec4ccc92a0ecd5ca8e2fb8,

title = "Poisson geometry of the analog of the Miura maps and B{\"a}cklund-Darboux transformations for equations of Toda type and periodic Toda flows",

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",

month = dec,

doi = "10.1007/BF02100291",

language = "English (US)",

volume = "143",

pages = "201--214",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows

AU - Deift, Percy

AU - Li, Luen Chau

PY - 1991/12

Y1 - 1991/12

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0001384458

UR - https://www.scopus.com/pages/publications/0001384458#tab=citedBy

U2 - 10.1007/BF02100291

DO - 10.1007/BF02100291

M3 - Article

AN - SCOPUS:0001384458

SN - 0010-3616

VL - 143

SP - 201

EP - 214

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this