Hamiltonian structure, Darboux transformation for a soliton hierarchy associated with Lie algebra so(4, C)

被引：1

作者：

Wang Xin-Zeng ^{[1
,2
,3
]}

Dong Huan-He ^{[3
]}

机构：

[1] Shandong Univ Sci & Technol SDUST, State Key Lab Min Disaster Prevent & Control Shan, Qingdao 266590, Peoples R China

[2] Shandong Univ Sci & Technol SDUST, Minist Sci & Technol, Qingdao 266590, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266510, Peoples R China

来源：

CHINESE PHYSICS B | 2015年 / 24卷 / 08期

基金：

中国国家自然科学基金;

关键词：

zero curvature equation; recursion operator; Hamiltonian structure; Darboux transformation; INTEGRABLE COUPLINGS; AKNS HIERARCHY; SYSTEM; EQUATION; IDENTITY;

D O I：

10.1088/1674-1056/24/8/080201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we first introduce a Lie algebra of the special orthogonal group, g = so (4, C), whose elements are 4 x 4 trace-free, skew-symmetric complex matrices. As its application, we obtain a new soliton hierarchy which is reduced to AKNS hierarchy and present its bi-Hamiltonian structure and Liouville integrability. Furthermore, for one of the equations in the resulting hierarchy, we construct a Darboux matrix T depending on the spectral parameter lambda.

引用

页数：7

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