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

Research output: Contribution to journalArticlepeer-review

12 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 languageEnglish (US)
Pages (from-to)201-214
Number of pages14
JournalCommunications In Mathematical Physics
Volume143
Issue number1
DOIs
StatePublished - Dec 1 1991

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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