Doubly discrete Lagrangian systems related to the Hirota and sine-Gordon equation

DOI10.1016/0375-9601(95)00233-SzbMath1020.37526arXivhep-th/9409144OpenAlexW3100686211MaRDI QIDQ1965560

C. Emmrich, Nadja Kutz

Publication date: 8 February 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9409144

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Discrete version of topics in analysis (39A12)

Related Items (2)

Poisson brackets of mappings obtained as \((q,-p)\) reductions of lattice equations ⋮ Poisson structures for difference equations

Cites Work

• On integrable mappings of standard type
• Integrable symplectic maps
• Discrete surfaces with constant negative Gaussian curvature and the Hirota equation.
• Hirota equation as an example of an integrable symplectic map
• Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background
• On the spectrum of the quantum pendulum
• Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
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