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

Yufeng Zhang; Xiurong Guo; Hon Wah 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^*, Hon Wah TAM

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

21 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

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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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 TAM, {Hon Wah}",

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AU - Guo, Xiurong

AU - TAM, Hon Wah

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.

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DO - 10.1016/j.chaos.2005.03.034

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JO - Chaos, Solitons and Fractals

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

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