On the master symmetries and bi-Hamiltonian structure of the Toda lattice

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Abstract

Starting from a conformal symmetry, higher-order Poisson tensors, deformation relations and master symmetries for the Toda lattice are obtained. A hierarchy of time-dependent symmetries is also constructed. Using reduction, deformation relations previously known to hold up to a certain equivalence relation are shown to be exact.

Original languageEnglish (US)
Article number028
Pages (from-to)3797-3803
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume26
Issue number15
DOIs
StatePublished - 1993
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy

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