A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies
type: Item
instance of: scholarly article
title: A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies
zbMATH Open document ID: 1221.37122
published in: Physics Letters. A
publication date: 2011-09-27T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 70H40
Mathematics Subject Classification ID: 83C15
zbMATH DE Number: 5950869
zbMATH Keywords: differential-difference hierarchy
zbMATH Keywords: relativistic Toda hierarchy
zbMATH Keywords: Volterra hierarchy
zbMATH Keywords: Hamiltonian structure
zbMATH Keywords: conservation law
zbMATH Keywords: Darboux transformation
author: En. Gui Fan
author: Huihui Dai
MaRDI profile type: Publication
full work available at URL: j.physleta.2008.04.051
OpenAlex ID: W1971813422
cites work: Nonlinear differential−difference equations
cites work: A unified algebraic approach to integral and discrete evolution equations
cites work: Theory of nonlinear lattices.
cites work: New integrable systems related to the relativistic Toda lattice
cites work: Analytical Bethe ansatz, canonical Bäcklund transformation and \(Q\)-operator for a new discrete integrable hierarchy
cites work: Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions
cites work: A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions
cites work: Semi-direct sums of Lie algebras and continuous integrable couplings
cites work: A discrete variational identity on semi-direct sums of Lie algebras
cites work: A supertrace identity and its applications to superintegrable systems
cites work: Master symmetries from Lax operators for certain lattice soliton hierarchies.
cites work: Some integrable finite-dimensional systems and their continuous counterparts
cites work: A novel hierarchy of integrable lattices
cites work: Discrete third-order spectral problems and a new Toda-type equation
cites work: Quantum relativistic Toda chain at root of unity: invariant approach.
DOI: 10.1016/J.PHYSLETA.2008.04.051
description: scientific article; zbMATH DE number 5950869