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Box-ball system with reflecting end

Atsuo Kuniba·Masato Okado·Yasuhiko Yamada
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Abstract

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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Atsuo Kuniba, Masato Okado, Yasuhiko Yamada. 2004-11-19. Box-ball system with reflecting end. https://doi.org/10.2991/jnmp.2005.12.4.4

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