The Liouville integrability of integrable couplings of Volterra lattice equation
type: Item
instance of: scholarly article
title: The Liouville integrability of integrable couplings of Volterra lattice equation
zbMATH Open document ID: 1221.37156
author: Qiu-Lan Zhao
author: Xin-Yue Li
author: Xi-Xiang Xu
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-09-23T00:00:00Z
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 70H06
zbMATH DE Number: 5950095
zbMATH Keywords: integrable couplings
zbMATH Keywords: discrete variational identity
zbMATH Keywords: Hamiltonian structure
zbMATH Keywords: Liouville integrable systems
MaRDI profile type: Publication
full work available at URL: j.cnsns.2009.06.028
OpenAlex ID: W2040666614
cites work: Nonlinear differential−difference equations
cites work: A trace identity and its applications to the theory of discrete integrable systems
cites work: R-matrix approach to lattice integrable systems
cites work: A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
cites work: A Hierarchy of Lax Integrable Lattice Equations, Liouville Integrability and a New Integrable Symplectic Map
cites work: Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem
cites work: Q3995225
cites work: A new integrable symplectic map associated with lattice soliton equations
cites work: Enlarging spectral problems to construct integrable couplings of soliton equations
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: Numerical study on laminar convection heat transfer in a channel with longitudinal vortex generator. Part B: Parametric study of major influence factors
cites work: Hamiltonian Forms for a Hierarchy of Discrete Integrable Coupling Systems
cites work: Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
cites work: Master symmetries from Lax operators for certain lattice soliton hierarchies.
cites work: A direct method for integrable couplings of TD hierarchy
cites work: Binary nonlinearization of spectral problems of the perturbation AKNS systems.
cites work: A bi-Hamiltonian formulation for triangular systems by perturbations
cites work: Q3373448
DOI: 10.1016/J.CNSNS.2009.06.028
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description: scientific article; zbMATH DE number 5950095