34 citations · 50 across the 4 of their papers we have counts for
4 papers
Bethe ansatz and inverse scattering transform in a periodic box-ball system
Atsuo Kuniba, Taichiro Takagi, Akira Takenouchi
We formulate the inverse scattering method for a periodic box-ball system and solve the initial value problem. It is done by a synthesis of the combinatorial Bethe ansa"tze at q=1…
Periodic cellular automata and Bethe ansatz
Atsuo Kuniba, Akira Takenouchi
We review and generalize the recent progress in a soliton cellular automaton known as the periodic box-ball system. It has the extended affine Weyl group symmetry and admits the co…
Bethe ansatz at q=0 and periodic box-ball systems
Atsuo Kuniba, Akira Takenouchi
A class of periodic soliton cellular automata is introduced associated with crystals of non-exceptional quantum affine algebras. Based on the Bethe ansatz at q=0, we propose explic…
Factorization, reduction and embedding in integrable cellular automata
A. Kuniba, T. Takagi, A. Takenouchi
Factorized dynamics in soliton cellular automata with quantum group symmetry is identified with a motion of particles and anti-particles exhibiting pair creation and annihilation.…