Discrete Toda field equations

DOI10.1016/0375-9601(95)00108-FzbMath1020.37536arXivsolv-int/9502002MaRDI QIDQ1965476

Richard Samuel Ward

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9502002

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Discrete version of topics in analysis (39A12)

Related Items (12)

Discrete Toda lattices and the Laplace method ⋮ Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras $A^{(1)}_{N-1}$ ⋮ Invariant manifolds and Lax pairs for integrable nonlinear chains ⋮ Integral preserving discretization of 2D Toda lattices ⋮ Geometric discretisation of the Toda system. ⋮ Characteristic algebras and integrable exponential systems ⋮ Darboux-integrable discrete systems ⋮ Darboux integrability of discrete two-dimensional Toda lattices ⋮ Lax pairs for integrable lattice systems ⋮ On one integrable discrete system ⋮ C-series discrete chains ⋮ Discretization of hyperbolic type Darboux integrable equations preserving integrability

Cites Work

• Linear integral equations and nonlinear difference-difference equations
• Two-dimensional generalized Toda lattice
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
• Nonlinear Partial Difference Equations. IV. Bäcklund Transformation for the Discrete-Time Toda Equation
• Gauge and dual symmetries and linearization of Hirota’s bilinear equations
• Integrable three-dimensional lattices
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
• On the Solution of a Class of Nonlinear Partial Difference Equations
• Unnamed Item

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