Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
From MaRDI portal
Publication:4943185
DOI10.1088/0266-5611/15/6/314zbMath1138.37341OpenAlexW1976407124MaRDI QIDQ4943185
Atsushi Nagai, Junkichi Satsuma, Tetsuji Tokihiro
Publication date: 16 March 2000
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/15/6/314
Related Items (34)
Scattering rule in soliton cellular automaton associated with crystal base of Uq(D4(3)) ⋮ From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization ⋮ Box and ball system with numbered boxes ⋮ Discrete hungry integrable systems -- 40 years from the Physica D paper by W. W. Symes ⋮ Inverse scattering method for a soliton cellular automaton ⋮ An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues ⋮ A path-counting analysis of phase shifts in box-ball systems ⋮ A finite-step construction of totally nonnegative matrices with specified eigenvalues ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ Lusztig factorization dynamics of the full Kostant-Toda lattices ⋮ Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra ⋮ On a shifted \(LR\) transformation derived from the discrete hungry Toda equation ⋮ Integrable Properties of a Variant of the Discrete Hungry Toda Equations and Their Relationship to Eigenpairs of Band Matrices ⋮ A Bäcklund transformation between two integrable discrete hungry systems ⋮ Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system ⋮ Integrable discrete hungry systems and their related matrix eigenvalues ⋮ Convergence acceleration of shifted \(LR\) transformations for totally nonnegative Hessenberg matrices. ⋮ Unnamed Item ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ Soliton cellular automaton associated with $D_n^{(1)}$Dn(1)-crystal B2,s ⋮ The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices ⋮ BOX-BASKET-BALL SYSTEMS ⋮ Unnamed Item ⋮ Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation ⋮ Soliton cellular automata associated with crystal bases ⋮ The AM(1) automata related to crystals of symmetric tensors ⋮ Periodic convergence in the discrete hungry Toda equation ⋮ The Kostant-Toda equation and the hungry integrable systems ⋮ Conserved quantities of the integrable discrete hungry systems ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ An asymptotic analysis for an integrable variant of the Lotka–Volterra prey–predator model via a determinant expansion technique ⋮ Box-ball systems and Robinson-Schensted-Knuth correspondence ⋮ Min-plus eigenvalue of tridiagonal matrices in terms of the ultradiscrete Toda equation ⋮ Inversible Max-Plus algebras and integrable systems
This page was built for publication: Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization