Hyperdeterminants as integrable discrete systems

DOI10.1088/1751-8113/42/45/454023zbMath1233.37041arXiv0903.3864OpenAlexW3098608381MaRDI QIDQ3648265

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Publication date: 24 November 2009

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

Full work available at URL: https://arxiv.org/abs/0903.3864

zbMATH Keywords

hyperdeterminant4D consistencyintegrable difference equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Multilinear algebra, tensor calculus (15A69)

Related Items (7)

Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ A lattice CKP equation expressed by the \(\tau\) function ⋮ On reductions of the discrete Kadomtsev–Petviashvili-type equations ⋮ Dispersionless (3+1)-dimensional integrable hierarchies ⋮ The pentagon relation and incidence geometry ⋮ Duality for discrete integrable systems II ⋮ Discrete Darboux system with self-consistent sources and its symmetric reduction

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