Multi-component matrix loop algebras and their applications to integrable systems

被引：0

作者：

Li, Zhu ^{[1
]}

机构：

[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China

来源：

NONLINEAR AND MODERN MATHEMATICAL PHYSICS | 2010年 / 1212卷

关键词：

Loop algebra; Integrable system; Hamiltonian structure; Integrable coupling; SEMIDIRECT SUMS; LIE-ALGEBRAS; HAMILTONIAN-STRUCTURE; TRACE IDENTITY; BPT HIERARCHY; COUPLINGS; EQUATIONS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Firstly, a multi-component matrix Loop algebra (A) over tilde (2M) and its expanding Loop algebra (A) over tilde (4M+1) are constructed. Then using (A) over tilde (2M), an isospectral problem is established; and by virtue of the Tu scheme, a multi-component integrable system is obtained, which is Liouville integrable. Further, the Hamiltonian structure of the obtained system is worked out by the trace identity. Finally, again using the Tu scheme, the integrable coupling of the obtained system is generated based on (A) over tilde (4M+1).

引用

页码：286 / 292

页数：7

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