The multi-component KdV hierarchy and its multi-component integrable coupling system

Yufeng Zhang; Hon Wah Tam

doi:10.1016/j.chaos.2004.05.010

The multi-component KdV hierarchy and its multi-component integrable coupling system

Yufeng Zhang^*
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

17 Citations (Scopus)

Abstract

Construction of a type of simple loop algebra is devoted to establishing an isospectral problem. It follows that the multi-component KdV hierarchy of soliton equations is obtained. Further, an expanded loop algebra of the above algebra is presented, which is used to work out the multi-component integrable coupling system of the multi-component KdV hierarchy.

Original language	English
Pages (from-to)	651-655
Number of pages	5
Journal	Chaos, Solitons and Fractals
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2004.05.010
Publication status	Published - Jan 2005

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10.1016/j.chaos.2004.05.010

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title = "The multi-component KdV hierarchy and its multi-component integrable coupling system",

abstract = "Construction of a type of simple loop algebra is devoted to establishing an isospectral problem. It follows that the multi-component KdV hierarchy of soliton equations is obtained. Further, an expanded loop algebra of the above algebra is presented, which is used to work out the multi-component integrable coupling system of the multi-component KdV hierarchy.",

author = "Yufeng Zhang and Tam, \{Hon Wah\}",

note = "Funding Information: This research was supported by Hong Kong Research Grant Council grant RGC/2016/03p. ",

year = "2005",

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doi = "10.1016/j.chaos.2004.05.010",

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AU - Zhang, Yufeng

AU - Tam, Hon Wah

N1 - Funding Information: This research was supported by Hong Kong Research Grant Council grant RGC/2016/03p.

PY - 2005/1

Y1 - 2005/1

N2 - Construction of a type of simple loop algebra is devoted to establishing an isospectral problem. It follows that the multi-component KdV hierarchy of soliton equations is obtained. Further, an expanded loop algebra of the above algebra is presented, which is used to work out the multi-component integrable coupling system of the multi-component KdV hierarchy.

AB - Construction of a type of simple loop algebra is devoted to establishing an isospectral problem. It follows that the multi-component KdV hierarchy of soliton equations is obtained. Further, an expanded loop algebra of the above algebra is presented, which is used to work out the multi-component integrable coupling system of the multi-component KdV hierarchy.

UR - https://www.scopus.com/pages/publications/4243094903

U2 - 10.1016/j.chaos.2004.05.010

DO - 10.1016/j.chaos.2004.05.010

M3 - Journal article

AN - SCOPUS:4243094903

SN - 0960-0779

VL - 23

SP - 651

EP - 655

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

The multi-component KdV hierarchy and its multi-component integrable coupling system

Abstract

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