Legendre transforms on a triangular lattice

DOI10.1007/BF02467062zbMath0976.37043arXivsolv-int/9808016OpenAlexW1833205294MaRDI QIDQ1576929

Vsevolod Eduardovich Adler

Publication date: 27 August 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9808016

zbMATH Keywords

triangular latticezero curvature representationgeneralized Legendre transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

Explicit solutions for a nonlinear vector model on the triangular lattice ⋮ Non-existence of S-integrable three-point partial difference equations in the lattice plane ⋮ Hexagonal circle patterns and integrable systems: Patterns with constant angles ⋮ Non-symmetric discrete Toda systems from quad-graphs ⋮ Discrete time Toda systems ⋮ Integrable seven-point discrete equations and second-order evolution chains ⋮ Explicit solutions for a nonlinear model on the honeycomb and triangular lattices ⋮ What is integrability of discrete variational systems?

Cites Work

• Theory of nonlinear lattices
• Generalized Legendre transformations
• Bi-Hamiltonian structure of the \(qd\) algorithm and new discretizations of the Toda lattice
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• A discrete-time relativistic Toda lattice
• New integrable systems related to the relativistic Toda lattice

This page was built for publication: Legendre transforms on a triangular lattice