New integrable systems related to the relativistic Toda lattice

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Abstract

The bi-Hamiltonian structure of the relativistic Toda lattice is exploited to introduce some new integrable lattice systems. Their integrable discretizations are obtained by means of the general procedure proposed recently by the author. Bäcklund transformations between the new systems and the relativistic Toda lattice (in both the continuous and discrete time formulations) are established.

Original languageEnglish
Pages (from-to)1745-1761
Number of pages17
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number5
DOIs
StatePublished - 7 Mar 1997
Externally publishedYes

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