A 2-PARAMETER HIERARCHY OF INTEGRABLE LATTICE EQUATIONS

DOI10.1142/S0217984908016066zbMath1173.82314OpenAlexW2072055678MaRDI QIDQ3528831

Xi-Xiang Xu, Weili Cao

Publication date: 17 October 2008

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

Full work available at URL: https://doi.org/10.1142/s0217984908016066

zbMATH Keywords

Lax pairLiouville integrableintegrable lattice equationrelativistic Toda lattice

Mathematics Subject Classification ID

Soliton equations (35Q51) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Cites Work

• Symmetry approach to the integrability problem
• 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
• A Liouville integrable lattice soliton equation, infinitely many conservation laws and integrable coupling systems
• New integrable lattice hierarchies
• Relativistic Toda systems
• Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
• Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
• Nonlinear differential−difference equations
• R-matrix approach to lattice integrable systems
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• Some New Nonlinear Differential-Difference Integrable Hierarchies
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• A new integrable symplectic map associated with lattice soliton equations

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