Cover Image

A delay analogue of the box and ball system arising from the ultra-discretization of the delay discrete Lotka-Volterra equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Nakata, Kenta, Negishi, Kanta, Matsuoka, Hiroshi, Maruno, Ken-ichi
Format:	Preprint
Published:	2023
Subjects:	Exactly Solvable and Integrable Systems Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Construction of the Lax pairs for the delay Lotka-Volterra and delay Toda lattice equations and their reductions to delay Painleve equations
by: Matsuoka, Hiroshi, et al.
Published: (2024)

Integrable discretizations of the SIR model
by: Tanaka, Yuta, et al.
Published: (2022)

Noncommutative nonisospectral Toda and Lotka-Volterra lattices, and matrix discrete Painlevé equations
by: Yan, Anhui, et al.
Published: (2024)

Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions
by: Hori, Ayako, et al.
Published: (2025)

Liouville integrable Lotka-Volterra systems
by: van der Kamp, Peter H., et al.
Published: (2026)

Linearization of the box-ball system with box capacity L
by: Maeno, Atsushi, et al.
Published: (2022)

A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction
by: Li, Shangshuai, et al.
Published: (2026)

Subalgebras of integrals, commutants, and superintegrable deformations of Lotka-Volterra systems
by: Marquette, Ian, et al.
Published: (2026)

Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation
by: Peroni, Edoardo, et al.
Published: (2023)

The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources
by: Cui, Mengyuan, et al.
Published: (2024)

Lagrangian multiform structure of discrete and semi-discrete KP systems
by: Nijhoff, Frank W
Published: (2024)

Noncommutative discrete equations, symmetries and reductions
by: Xenitidis, Pavlos
Published: (2025)

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

Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation
by: Li, Shi-Hao, et al.
Published: (2025)

Darboux formulae for linear hyperbolic equations in discrete case
by: Smirnov, Sergey V.
Published: (2025)

Hypergraphs and Lotka-Volterra systems with linear Darboux polynomials
by: van der Kamp, Peter H.
Published: (2024)

Solutions to an autonomous discrete KdV equation via Painlevé-type ordinary difference equations
by: Nakazono, Nobutaka
Published: (2025)

Trees and superintegrable Lotka-Volterra families
by: van der Kamp, Peter H., et al.
Published: (2023)

The integrable semi-discrete nonlinear Schrödinger equations with nonzero backgrounds: Bilinearization-reduction approach
by: Deng, Xiao, et al.
Published: (2024)

Nonisospectral deformations of noncommutative Laurent biorthogonal polynomials and matrix discrete Painlevé-type equations
by: Dai, Dan, et al.
Published: (2025)

Cauchy matrix approach to novel extended semi-discrete KP-type systems
by: Tian, Hong-juan, et al.
Published: (2024)

Geometry of autonomous discrete Painlevé equations related to the Weyl group $W(E_8^{(1)})$
by: Alonso, Jaume, et al.
Published: (2025)

Integrable discrete massive Thirring model
by: Chen, Junchao, et al.
Published: (2025)

Inverse scattering transform for the discrete nonlocal PT symmetric nonlinear Schrödinger equation with nonzero boundary conditions
by: Liu, Ya-Hui, et al.
Published: (2024)

Volterra map and related recurrences
by: Svinin, Andrei K.
Published: (2025)

Affine Weyl groups and non-Abelian discrete systems: an application to the $d$-Painlevé equations
by: Bobrova, Irina
Published: (2024)

Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
by: Kassotakis, Pavlos, et al.
Published: (2024)

On the singularity structure of Kahan discretizations of a class of quadratic vector fields
by: Zander, René
Published: (2020)

An infinite family of homogeneous discrete equations with the Laurent property
by: Svinin, Andrei K.
Published: (2026)

(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)

The semi-discrete complex modified Korteweg-de Vries equation with zero and non-zero boundary conditions: Riemann-Hilbert approach and N-soliton solutions
by: Deng, Bo-Jie, et al.
Published: (2024)

Negative flows and non-autonomous reductions of the Volterra lattice
by: Adler, V. E.
Published: (2023)

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

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

On consistency around a $3 \times 3\times 3$ cube and Q3 analogue of the lattice Boussinesq equation
by: Sun, Pengyu, et al.
Published: (2026)

On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map
by: Tsuchida, Takayuki
Published: (2024)

Integrable semi-discretizations of the sine-Gordon equation in non-characteristic coordinates
by: Tsuchida, Takayuki
Published: (2025)

On a quadratic Poisson algebra and integrable Lotka-Volterra systems with solutions in terms of Lambert's W function
by: van der Kamp, Peter H., et al.
Published: (2024)

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

Idempotent compatible maps and discrete integrable systems on the triangular lattice
by: Kassotakis, Pavlos, et al.
Published: (2025)