${{\mathbb{Z}}_{N}}$ graded discrete Lax pairs and integrable difference equations

DOI10.1088/1751-8121/aa639azbMath1367.37055OpenAlexW2598914887WikidataQ59889609 ScholiaQ59889609MaRDI QIDQ5267842

Allan P. Fordy, Pavlos Xenitidis

Publication date: 13 June 2017

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

Full work available at URL: https://doi.org/10.1088/1751-8121/aa639a

zbMATH Keywords

Bäcklund transformationLax pairdiscrete integrable systemlattice equation3D consistency

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14)

Related Items

Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps, Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras $A^{(1)}_{N-1}$, Symmetries of ${\mathbb{Z}}_{N}$ graded discrete integrable systems, Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies, On a special coupled lattice system of the discrete Boussinesq type, Integrable Boundary Conditions for the Hirota-Miwa Equation and Lie Algebras, Discrete modified Boussinesq equation and Darboux transformation, ZN graded discrete Lax pairs and Yang–Baxter maps, Direct linearization approach to discrete integrable systems associated with ℤ _𝒩 graded Lax pairs, Self-dual systems, their symmetries and reductions to the Bogoyavlensky lattice, Direct linearisation of the discrete-time two-dimensional Toda lattices, The lattice sine-Gordon equation as a superposition formula for an NLS-type system, Determining the symmetries of difference equations, Multi-component extension of CAC systems, $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations, On consistent systems of difference equations, A discrete Darboux-Lax scheme for integrable difference equations, Integrable discretizations for classical Boussinesq system, Integrable physics and its connections with special functions and combinatorics

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