Box-ball system with reflecting end

Details Box-ball system with reflecting end Box-ball system with reflecting end

2004-11-19

arxiv.org/abs/nlin/0411044v1

J. Nonlin. Math. Phys. vol.12 (2005) 475--507

Nonlinear Sciences

Exactly Solvable and Integrable Systems

32 pages, 12 figure

Scientific paper

A soliton cellular automaton on a one dimensional semi-infinite lattice with a reflecting end is presented. It extends a box-ball system on an infinite lattice associated with the crystal base of U_q(sl_n). A commuting family of time evolutions are obtained by adapting the K matrices and the double row construction of transfer matrices in solvable lattice models to a crystal setting. Factorized scattering among the left and the right moving solitons and the boundary reflection rule are determined.

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