Inverse scattering method for a soliton cellular automaton

DOI10.1016/j.nuclphysb.2004.11.047zbMath1160.37411arXivmath-ph/0406038OpenAlexW2009104352MaRDI QIDQ874611

Taichiro Takagi

Publication date: 10 April 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0406038

zbMATH Keywords

Young diagramsdiscrete integrable systems\(q\)-binomial coefficients

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

New fermionic formula for unrestricted Kostka polynomials, Bethe ansatz and inverse scattering transform in a periodic box-ball system, A path-counting analysis of phase shifts in box-ball systems, Uniform description of the rigged configuration bijection, Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials, A crystal to rigged configuration bijection and the filling map for type \(D_4^{(3)}\), A uniform approach to soliton cellular automata using rigged configurations, Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types, Darboux dressing and undressing for the ultradiscrete KdV equation

Cites Work

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