Yang-Baxter 映射与矩阵孤子
数学物理
2007-05-23 v1 math.MP
摘要
讨论了由矩阵 KdV 方程理论得出的 Grassmann 流形上 Yang-Baxter 映射(或量子 Yang-Baxter 方程的集合论解)的新例子。利用与矩阵 Schrödinger 算子的逆散射问题的关系,给出了这些映射的 Lax 对。
引用
@article{arxiv.math-ph/0303032,
title = {Yang-Baxter maps and matrix solitons},
author = {V. M. Goncharenko and A. P. Veselov},
journal= {arXiv preprint arXiv:math-ph/0303032},
year = {2007}
}
备注
6 pages. To appear in Proceedings of NATO Advanced Research Workshop on "New Trends in Integrability and Partial Solvability" (Cadiz, 10-15 June 2002)