Matrix integrals and several integrable differential-difference systems

被引：7
作者：
Hu, Xing-Biao
Zhao, Jun-Xiao
Li, Chun-Xia
机构：
[1] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Grad Univ, Chinese Acad Sci, Dept Math, Beijing 100049, Peoples R China
[3] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2006年 / 75卷 / 05期
关键词：
matrix integrals; Pfaffian; Casorati determinant; two-dimensional Toda lattice; differential-difference KP equation; semi-discrete Toda lattice;
D O I：
10.1143/JPSJ.75.054003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the relations between three special forms of matrix integrals and their associated integrable differential-difference systems are considered. It turns out that these matrix integrals with special = 2 and 1,4 satisfy the differential-difference KP equation, the two-dimensional Toda lattice, the semi-discrete Toda equation and their Pfaffianized systems, respectively.
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页数：5
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