On a non-Abelian Hirota–Miwa equation

DOI10.1088/0305-4470/39/18/019zbMath1094.37038OpenAlexW2071089749MaRDI QIDQ5466883

Jonathan J. C. Nimmo

Publication date: 22 May 2006

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

Full work available at URL: https://doi.org/10.1088/0305-4470/39/18/019

zbMATH Keywords

Darboux transformationsquasideterminantsnon-Abelian associative algebra

Mathematics Subject Classification ID

Related Items (29)

Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps ⋮ “Riemann equations” in bidifferential calculus ⋮ Commutator identities on associative algebras, the non-abelian Hirota difference equation and its reductions ⋮ Non-commutative Hermite-Padé approximation and integrability ⋮ Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ Integrability and geometry of the Wynn recurrence ⋮ Quantum groups, Yang-Baxter maps and quasi-determinants ⋮ Sato-theoretic construction of solutions to noncommutative integrable systems ⋮ The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota-Miwa system ⋮ Multisoliton solutions of integrable discrete and semi-discrete principal chiral equations ⋮ Generalized Darboux transformation for the discrete Kadomtsev-Petviashvili equation with self-consistent sources ⋮ Non-commutative rational Yang-Baxter maps ⋮ Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy ⋮ The Coxeter relations and KP map for non-commuting symbols ⋮ Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ Discrete KP equation with self-consistent sources ⋮ The pentagon relation and incidence geometry ⋮ Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables ⋮ Higher Hirota difference equations and their reductions ⋮ Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods ⋮ A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system ⋮ Tetrahedron maps and symmetries of three dimensional integrable discrete equations ⋮ Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations ⋮ Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems ⋮ $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations ⋮ Non-commutative double-sided continued fractions ⋮ Non-autonomous multidimensional Toda system and multiple interpolation problem ⋮ On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation

This page was built for publication: On a non-Abelian Hirota–Miwa equation