Box-ball system with reflecting end

被引：16
|
作者：
Kuniba, A [1 ]
Okado, M
Yamada, Y
机构：
[1] Univ Tokyo, Inst Phys, Tokyo 1538902, Japan
[2] Osaka Univ, Grad Sch Engn Sci, Dept Math Sci, Osaka 5608531, Japan
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2005年 / 12卷 / 04期
基金：
日本学术振兴会;
关键词：
D O I：
10.2991/jnmp.2005.12.4.4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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((s) over capl(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.
引用
收藏
页码：475 / 507
页数：33
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