Cover Image

New cluster algebras from old: integrability beyond Zamolodchikov periodicity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hone, Andrew N. W., Kim, Wookyung, Mase, Takafumi
Format:	Preprint
Published:	2024
Subjects:	Exactly Solvable and Integrable Systems Mathematical Physics Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Commuting integrable maps from a deformed D$_4$ cluster algebra
by: Hone, A. N. W., et al.
Published: (2025)

Integrable deformations of cluster maps of type $D_{2N}$
by: Kim, Wookyung
Published: (2025)

Integrable systems and cluster algebras
by: Gekhtman, Michael, et al.
Published: (2024)

Singularities and growth of higher order discrete equations
by: Willox, Ralph, et al.
Published: (2024)

On the solutions of the local Zamolodchikov tetrahedron equation
by: Chirkov, M., et al.
Published: (2024)

A family of integrable maps associated with the Volterra lattice
by: Hone, A. N. W., et al.
Published: (2023)

On trilinear and quadrilinear equations associated with the lattice Gel'fand-Dikii hierarchy
by: van der Kamp, P. H., et al.
Published: (2024)

Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice
by: Kamiya, Ryo, et al.
Published: (2020)

Integrable maps in 4D and modified Volterra lattices
by: Hone, A. N. W., et al.
Published: (2023)

Non-crossing permutations for the KP solitons under the Gel'fand-Dickey reductions and the vertex operators
by: Huang, Shilong, et al.
Published: (2024)

On enumeration of $l$-hypermaps
by: Huang, Zhengfei, et al.
Published: (2025)

Soliton cellular automata for the affine general linear Lie superalgebra
by: Ryan, Mitchell, et al.
Published: (2022)

Deautonomisation by singularity confinement and degree growth
by: Stokes, Alexander, et al.
Published: (2023)

Confluent Darboux transformations and Wronskians for algebraic solutions of the Painlevé III ($D_7$) equation
by: Harrow, J. W. E., et al.
Published: (2025)

Casting more light in the shadows: dual Somos-5 sequences
by: Harrow, J. W. E., et al.
Published: (2024)

Quasi-integrability from PT-symmetry
by: Abhinav, Kumar, et al.
Published: (2025)

Spectral theory for non-self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the focusing nonlinear Schrödinger equation with periodic boundary conditions
by: Biondini, Gino, et al.
Published: (2025)

Knizhnik-Zamolodchikov equations and integrable hyperbolic Landau-Zener models
by: Barik, Suvendu, et al.
Published: (2024)

On enumeration of $b$-angulations of surfaces from an integrability perspective
by: Garcia-Failde, Elba, et al.
Published: (2026)

Comment on "Rogue waves on the double-periodic background in the focusing nonlinear Schrödinger equation"
by: Schuermann, Hans Werner, et al.
Published: (2025)

Analytical and numerical studies for integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies
by: Liu, Qin-Ling, et al.
Published: (2024)

On integrable by Euler planar differential systems
by: Tsiganov, A. V.
Published: (2026)

Negative flows for several integrable models
by: Adler, V. E.
Published: (2023)

Lagrangian multiforms and dispersionless integrable systems
by: Ferapontov, Evgeny V., et al.
Published: (2025)

On an infinite commuting ODE system associated to a simple Lie algebra
by: Yang, Di, et al.
Published: (2024)

Localized excitation on the Jacobi elliptic periodic background for the (n+1)-dimensional generalized Kadomtsev-Petviashvili equation
by: Li, Jia-bin, et al.
Published: (2024)

Random matrix ensembles and integrable differential identities
by: Benassi, Costanza, et al.
Published: (2025)

A direct method in noncommutative integrable systems
by: Li, Shi-Hao, et al.
Published: (2025)

Modified open Toda chain and quasi-integrability
by: Blas, H., et al.
Published: (2025)

From one to infinity: symmetries of integrable systems
by: Lou, S. Y., et al.
Published: (2023)

$\mathrm{PGL}(3)$-invariant integrable systems from factorisation of linear differential and difference operators
by: Nijhoff, Frank, et al.
Published: (2026)

Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
by: Drozdov, Pavel, et al.
Published: (2026)

On Quasi-integrable Deformation Scheme of The KdV System
by: Abhinav, Kumar, et al.
Published: (2021)

Dark states in an integrable XY central spin model
by: van Tonder, Jaco, et al.
Published: (2025)

Explicit conserved operators for a class of integrable bosonic networks from the classical Yang-Baxter equation
by: Isaac, Phillip S., et al.
Published: (2025)

On B type family of Dubrovin-Frobenius manifolds and their integrable systems
by: Basalaev, Alexey
Published: (2023)

Revisiting Bäcklund-Darboux transformations for KP and BKP integrable hierarchies
by: Zabrodin, A.
Published: (2025)

Remarks on intersection numbers and integrable hierarchies. II. Tau-structure
by: Valeri, Daniele, et al.
Published: (2023)

A search for integrable evolution equations with Lax pairs over the octonions
by: Anco, Stephen C., et al.
Published: (2025)

Quasi-classical expansion of a hyperbolic solution to the star-star relation and multicomponent 5-point difference equations
by: Kels, Andrew P.
Published: (2024)