A GENERALIZATION OF TODA LATTICES AND THEIR BI-HAMILTONIAN STRUCTURES

DOI10.1142/S0217984912500789zbMath1263.82009MaRDI QIDQ4911463

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Publication date: 15 March 2013

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

zbMATH Keywords

bi-Hamiltonian structuresdifferential-difference equations

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) Spectral theory of functional-differential operators (34K08)

Related Items (3)

Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials ⋮ Hamiltonian structures and conservation laws of the Belov-Chaltikian lattice hierarchy ⋮ Bargmann type systems for the generalization of Toda lattices

Cites Work

• Theory of nonlinear lattices.
• Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
• Bäcklund Transformation for the Exponential Lattice
• A Hierarchy of New Nonlinear Differential-Difference Equations
• A Nonlinear Difference Scheme and Inverse Scattering
• On the Solution of a Class of Nonlinear Partial Difference Equations
• On the Toda Lattice. II: Inverse-Scattering Solution
• Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

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