Hamiltonian structures and conservation laws of the Belov-Chaltikian lattice hierarchy

DOI10.1063/1.4884302zbMath1302.37035OpenAlexW2010474708MaRDI QIDQ5171418

Bo Xue, Songhe Xu

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4884302

zbMATH Keywords

conservation lawshierarchyHamiltonian structuresBelov-Chaltikian lattice equation

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60)

Related Items

Discrete N-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice ⋮ Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit

Cites Work

• Unnamed Item
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Master symmetries for Volterra equation, Belov--Chaltikian and Blaszak--Marciniak lattice equations.
• Lattice analogues of \(W\)-algebras and classical integrable equations
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation
• On a new class of completely integrable nonlinear wave equations. I. Infinitely many conservation laws
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Nonlinear differential−difference equations
• A new hierarchy of integrable differential-difference equations and Darboux transformation
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES
• A Bäcklund transformation and nonlinear superposition formula for the Belov-Chaltikian lattice
• Belov–Chaltikian and Blaszak–Marciniak lattice equations: Recursion operators and factorization
• A GENERALIZATION OF TODA LATTICES AND THEIR BI-HAMILTONIAN STRUCTURES
• The direct linearisation approach to hierarchies of integrable PDEs in 2 + 1 dimensions: I. Lattice equations and the differential-difference hierarchies
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems