Box and ball system with numbered boxes

DOI10.1007/s11040-022-09425-6zbMath1497.37094OpenAlexW4224321805MaRDI QIDQ2139236

Akiko Fukuda, Masashi Iwasaki, Yusaku Yamamoto, Sonomi Kakizaki, Emiko Ishiwata, Yoshimasa Nakamura

Publication date: 17 May 2022

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-022-09425-6

zbMATH Keywords

ultradiscretizationdiscrete hungry Toda equationbox and ball systemnumbered boxessolitonical nature

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (1)

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Cites Work

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• A Bäcklund transformation between two integrable discrete hungry systems
• The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts
• Conserved quantities of the integrable discrete hungry systems
• The AM(1) automata related to crystals of symmetric tensors
• Differential qd algorithm for totally nonnegative Hessenberg matrices: introduction of origin shifts and relationship with the discrete hungry Lotka-Volterra system
• Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice
• On the qd-type discrete hungry Lotka-Volterra system and its application to the matrix eigenvalue algorithm
• 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
• COMBINATORIAL BETHE ANSATZ AND GENERALIZED PERIODIC BOX-BALL SYSTEM
• Box and ball system with a carrier and ultradiscrete modified KdV equation
• On a periodic soliton cellular automaton
• ENERGY FUNCTIONS IN BOX BALL SYSTEMS
• BOX-BASKET-BALL SYSTEMS
• Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
• Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system

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