Volume 12, Issue 4, November 2005, Pages 475 - 507
Box-Ball System with Reflecting End
Atsuo KUNIBA, Masato OKADO, Yasuhiko YAMADA
Received 25 November 2004, Accepted 24 March 2005, Available Online 1 November 2005.
- https://doi.org/10.2991/jnmp.2005.12.4.4How to use a DOI?
- 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 Uq(sln). 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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Cite this article
TY - JOUR AU - Atsuo KUNIBA AU - Masato OKADO AU - Yasuhiko YAMADA PY - 2005 DA - 2005/11 TI - Box-Ball System with Reflecting End JO - Journal of Nonlinear Mathematical Physics SP - 475 EP - 507 VL - 12 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.4.4 DO - https://doi.org/10.2991/jnmp.2005.12.4.4 ID - KUNIBA2005 ER -