A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling

Yufeng Zhang; Xiurong Guo; Honwah Tam

doi:10.1016/j.chaos.2005.03.034

A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling

Yufeng Zhang
, Xiurong Guo^*
, Honwah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

19 Citations (Scopus)

Abstract

A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, a new multi-component integrable hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that the binary integrable coupling systems are given. This method proposed in this paper can be used to other soliton hierarchies.

Original language	English
Pages (from-to)	114-124
Number of pages	11
Journal	Chaos, Solitons and Fractals
Volume	29
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2005.03.034
Publication status	Published - Jul 2006

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10.1016/j.chaos.2005.03.034

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title = "A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling",

abstract = "A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, a new multi-component integrable hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that the binary integrable coupling systems are given. This method proposed in this paper can be used to other soliton hierarchies.",

author = "Yufeng Zhang and Xiurong Guo and Honwah Tam",

note = "Funding Information: This work was supported by The National Science Foundation of China (10471139). ",

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AU - Zhang, Yufeng

AU - Guo, Xiurong

AU - Tam, Honwah

N1 - Funding Information: This work was supported by The National Science Foundation of China (10471139).

PY - 2006/7

Y1 - 2006/7

N2 - A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, a new multi-component integrable hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that the binary integrable coupling systems are given. This method proposed in this paper can be used to other soliton hierarchies.

AB - A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, a new multi-component integrable hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that the binary integrable coupling systems are given. This method proposed in this paper can be used to other soliton hierarchies.

UR - https://www.scopus.com/pages/publications/30344463348

U2 - 10.1016/j.chaos.2005.03.034

DO - 10.1016/j.chaos.2005.03.034

M3 - Journal article

AN - SCOPUS:30344463348

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EP - 124

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

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ER -

A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling

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