A finite-dimensional integrable system and the r-matrix method

被引：3
|
作者：
Shi, QY [1 ]
Zhu, SM [1 ]
机构：
[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 04期
关键词：
D O I：
10.1063/1.533232
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The nonlinearization method is used on the soliton hierarchy associated with the 4 x 4 AKNS eigenvalue problem, from which a new finite-dimensional Hamiltonian system is obtained by nonlinearization of the eigenvalue problem and its ajoint one. A Lax representation is deduced for the system. The Lax operator admits the representation of an r-matrix. The 4N functionally independent and involutive integrals of motion are obtained via the r-matrix, which shows that the system is completely integrable in the Liouville sense. (C) 2000 American Institute of Physics. [S0022-2488(00)01702-3].
引用
收藏
页码：2157 / 2166
页数：10
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