Non-symmetric discrete Toda systems from quad-graphs

DOI10.1080/00036810903397495zbMath1189.35270arXiv0908.2822OpenAlexW2091698559MaRDI QIDQ3558507

Raphael Boll, Yuri Borisovich Suris

Publication date: 5 May 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2822

zbMATH Keywords

integrable lattice equationsBäcklund transformationintegrable discretizationmultidimensional consistencyzero curvature representationquad graphrelativistic Toda latticediscrete Toda-type equationsquad-equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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Explicit solutions for a nonlinear vector model on the triangular lattice ⋮ Discrete time Toda systems ⋮ Integrable seven-point discrete equations and second-order evolution chains ⋮ Classification of 3D Consistent Quad-Equations ⋮ On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations ⋮ Explicit solutions for a nonlinear model on the honeycomb and triangular lattices ⋮ What is integrability of discrete variational systems?

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