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solv-intJun 5, 1996
91
citations (OpenAlex)
authors
  • Yuri B. Suris
institutions
  • University of Bremen
arXiv abstractPDF
paper

New integrable systems related to the relativistic Toda lattice

arXiv:solv-int/9605006 · doi:10.1088/0305-4470/30/5/035

Abstract

New integrable lattice systems are introduced, their different integrable discretization are obtained. Bäcklund transformations between these new systems and the relativistic Toda lattice (in the both continuous and discrete time formulations) are established.

LaTeX, 22 pp. Substantially extended version: several new systems added!

Cited by in corpus (11)

  • Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
  • Darboux transformations and Recursion operators for differential--difference equations
  • Computation of conserved densities for systems of nonlinear differential-difference equations
  • Legendre transformations on the triangular lattice
  • On the structure of the Bäcklund transformations for the relativistic lattices
  • Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials
  • Discrete time Toda systems
  • Bäcklund Transformations as exact integrable time-discretizations for the trigonometric Gaudin model
  • Lax Pairs for Integrable Lattice Systems
  • Integrable 7-point discrete equations and evolution lattice equations of order 2
  • Lax matrices for a 1-parameter subfamily of van Diejen--Toda chains
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