A type of multi-component integrable hierarchy

doi:10.1088/1009-1963/13/8/001

中国物理B ›› 2004, Vol. 13 ›› Issue (8): 1183-1186.doi: 10.1088/1009-1963/13/8/001

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A type of multi-component integrable hierarchy

张玉森¹, 张玉峰²

(1)Department of Control Engineering, Shandong University at Weihai, Weihai 264209, China; (2)School of Mathematics, Liaoning Normal University, Dalian 116029, China

收稿日期:2003-12-29 修回日期:2004-03-30 出版日期:2004-06-21 发布日期:2005-06-21

A type of multi-component integrable hierarchy

Zhang Yu-Feng (张玉峰)^a, Zhang Yu-Sen (张玉森)^b

^a School of Mathematics, Liaoning Normal University, Dalian 116029, China; ^b Department of Control Engineering, Shandong University at Weihai, Weihai 264209, China

Received:2003-12-29 Revised:2004-03-30 Online:2004-06-21 Published:2005-06-21

摘要/Abstract

摘要： A new isospectral problem is established by constructing a simple interesting loop algebra. A commutation operation of the loop algebra is as straightforward as the loop algebra ?_1. It follows that a type of multi-component integrable hierarchy is obtained. This can be used as a general method.

关键词: loop algebra, multi-component integrable system, integrable coupling

Abstract: A new isospectral problem is established by constructing a simple interesting loop algebra. A commutation operation of the loop algebra is as straightforward as the loop algebra $\tilde{A}_1$. It follows that a type of multi-component integrable hierarchy is obtained. This can be used as a general method.

Key words: loop algebra, multi-component integrable system, integrable coupling

中图分类号: (Logic, set theory, and algebra)

02.10.-v

05.45.Yv (Solitons)

张玉峰, 张玉森. A type of multi-component integrable hierarchy[J]. 中国物理B, 2004, 13(8): 1183-1186.

Zhang Yu-Feng (张玉峰), Zhang Yu-Sen (张玉森). A type of multi-component integrable hierarchy[J]. Chinese Physics, 2004, 13(8): 1183-1186.

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A type of multi-component integrable hierarchy

A type of multi-component integrable hierarchy

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