A FAMILY OF DISCRETE HAMILTONIAN EQUATIONS ASSOCIATED WITH A DISCRETE THREE-BY-THREE MATRIX SPECTRAL PROBLEM

DOI10.1142/S021797920905273XzbMath1179.82032MaRDI QIDQ3401848

Xi-Xiang Xu, Linlin Ma

Publication date: 1 February 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian structureLiouville integrabilityintegrable lattice equationdiscrete matrix spectral problem

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Application of the trigonal curve to a hierarchy of generalized Toda lattices

Cites Work

• Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
• Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint
• New integrable lattice hierarchies
• A hierarchy of discrete Hamiltonian equations and its binary nonlinearization by symmetry constraint
• Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
• Nonlinear differential−difference equations
• On some integrable systems related to the Toda lattice
• R-matrix approach to lattice integrable systems
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• A New Integrable Symplectic Map of Neumann Type
• On the Toda Lattice. II: Inverse-Scattering Solution
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• A unified algebraic approach to integral and discrete evolution equations
• A discrete variational identity on semi-direct sums of Lie algebras

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