Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system
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Publication:5369079
DOI10.1088/1751-8121/aa8204zbMath1378.37098arXiv1703.06709OpenAlexW3099445981MaRDI QIDQ5369079
Publication date: 12 October 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.06709
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12) Dynamical aspects of cellular automata (37B15) Difference operators (39A70) Other special orthogonal polynomials and functions (33C47)
Related Items
Box and ball system with numbered boxes ⋮ The Kostant-Toda equation and the hungry integrable systems
Cites Work
- Unnamed Item
- Multidimensional Toda lattices: continuous and discrete time
- Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems
- Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy
- Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation
- Biorthogonal polynomials suggested by the Hermite polynomials
- Biorthogonal polynomials suggested by the Jacobi polynomials
- Accurate singular values and differential qd algorithms
- Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials
- Spectral transformation chains and some new biorthogonal rational functions
- Direct connection between the \(\mathrm R_{\mathrm{II}}\) chain and the nonautonomous discrete modified KdV lattice
- Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials
- Biorthogonal polynomials suggested by the Laguerre polynomials
- Faces of Relativistic Toda Chain
- The AM(1) automata related to crystals of symmetric tensors
- Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice
- Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis
- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- A finite Toda representation of the box–ball system with box capacity
- Solution to the initial value problem of the ultradiscrete periodic Toda equation
- On the Theory of Biorthogonal Polynomials
- Discrete-time Volterra chain and classical orthogonal polynomials
- String-orthogonal polynomials, string equations, and 2-Toda symmetries
- Ultradiscrete KdV Equation
- Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
- A direct approach to the ultradiscrete KdV equation with negative and non-integer site values
- Some properties of biorthogonal polynomials
- A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system
