r-Matrix Structure for a Restricted Flow with Bargmann Constraint

被引：0
|
作者：
CHEN Jin--Bing
GENG Xian--Guo Department of Mathematics
机构：
来源：
CommunicationsinTheoreticalPhysics | 2005年 / 44卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Poisson bracket; Lax representation; r-matrix; Liouville integrability;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法]; O151.21 [矩阵论];
学科分类号：
0701 ; 070104 ;
摘要：
This paper deals with the integrability of a finite-dimensional IIamiltonian system linked with the gen-eralized coupled KdV hierarchy.For this purpose the associated Lax representation is presented after an elementarycalculation. It is shown that the Lax representation enjoys a synamical r-matix formula instead of a classical one in thePoisson bracket on R;.Consequently the resulting system is proved to be completely integrable in view of r-matrixstructire.
引用
收藏
页码：393 / 395
页数：3
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