Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps

DOI10.1007/978-3-319-56666-5_5zbMath1377.37092arXiv1612.00854OpenAlexW2559799562MaRDI QIDQ5358718

Deniz Bilman, S. Konstantinou-Rizos

Publication date: 21 September 2017

Published in: Symmetries and Integrability of Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00854

zbMATH Keywords

Toda latticeDarboux transformationBäcklund transformationLax pairRiemann-Hilbert formulation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Benchmarking numerical methods for lattice equations with the Toda lattice

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