摘要
本文概述可积系统与正交多项式相关的交叉研究工作,重点介绍与正交多项式相关的Toda型方程、Camassa-Holm类型尖峰孤子系统以及相关的随机矩阵及离散的活动标架等方面的研究.
This paper presents a brief review of interdisciplinary studies related to integrable systems and orthogonal polynomials.We particularly focus on studies about the Todatype equations,multipeakon lattices of Camassa-Holm-type equations,random matrices and discrete moving frame related to orthogonal polynomials.
作者
陈晓敏
常向科
李世豪
王宝
CHEN Xiaomin;CHANG Xiangke;LI Shihao;WANG Bao(College of Mathematics,Faculty of Science,Beijing University of Technology,Beijing,100124,P.R.China;LSEC,ICMSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,P.O.Box 2719,Beijing,100190,P.R.China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing,100049,P.R.China;School of Mathematics and Statistics,University of Melbourne,Melbourne,Victoria 3010,Australia;School of Mathematics and Statistics,Ningbo University,Ningbo,Zhejiang,315211,P.R.China)
出处
《数学进展》
CSCD
北大核心
2021年第5期666-688,共23页
Advances in Mathematics（China）
基金
国家自然科学基金(Nos.11688101,11731014,11701550,11901022)
北京市自然科学基金(No.1204027)
中国科学院青年创新促进会项目。
关键词
可积系统
正交多项式
尖峰孤子系统
随机矩阵
离散活动标架
integrable systems
orthogonal polynomials
multipeakons
random matrices
discrete moving frame
