Miura-type transformations for lattice equations and Lie group actions associated with Darboux–Lax representations

DOI10.1088/1751-8113/49/27/275201zbMath1344.37078arXiv1512.09123OpenAlexW2198111234WikidataQ59893878 ScholiaQ59893878MaRDI QIDQ3186288

Sergey Igonin, George Berkeley

Publication date: 9 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.09123

zbMATH Keywords

Toda latticeLie group actionsdifferential-difference equationsMiura-type transformationsAdler-Postnikov latticesDarboux-Lax representationsNarita-Itoh-Bogoyavlensky lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ Generalized Volterra lattices: binary Darboux transformations and self-consistent sources ⋮ Integrable Möbius-invariant evolutionary lattices of second order

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