Bethe ansatz and inverse scattering transform in a periodic box-ball system

DOI10.1016/j.nuclphysb.2006.04.003zbMath1178.82030arXivmath/0602481OpenAlexW2035094322MaRDI QIDQ879856

Atsuo Kuniba, A. Takenouchi, Taichiro Takagi

Publication date: 10 May 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602481

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (7)

Relationships between two approaches: rigged configurations and 10-eliminations ⋮ Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics ⋮ COMBINATORIAL BETHE ANSATZ AND GENERALIZED PERIODIC BOX-BALL SYSTEM ⋮ The Bethe ansatz in a periodic box–ball system and the ultradiscrete Riemann theta function ⋮ Generalized hydrodynamics in box-ball system ⋮ Geometric lifting of the integrable cellular automata with periodic boundary conditions ⋮ Differential equations for the closed geometric crystal chains

Cites Work

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• Inverse scattering method for a soliton cellular automaton
• The Bethe Ansatz and the combinatorics of Young tableaux
• Kostka polynomials and energy functions in solvable lattice models
• Crystal bases of modified quantized enveloping algebra
• A bijection between Littlewood-Richardson tableaux and rigged configurations
• Analytic Bethe ansatz for fundamental representations of Yangians
• The AM(1) automata related to crystals of symmetric tensors
• Bethe ansatz atq= 0 and periodic box–ball systems
• The inverse scattering transform: Semi-infinite interval
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• AFFINE CRYSTALS AND VERTEX MODELS
• On a periodic soliton cellular automaton
• Fundamental cycle of a periodic box ball system
• ENERGY FUNCTIONS IN BOX BALL SYSTEMS
• Method for Solving the Korteweg-deVries Equation
• Fundamental cycle of a periodic box–ball system and solvable lattice models

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