A Simple Method for Generating Discrete Multi-Component Integrable Hierarchy

doi:10.1088/0256-307X/27/11/110201

Chin. Phys. Lett.

2010, Vol. 27

Issue (11): 110201 DOI: 10.1088/0256-307X/27/11/110201

GENERAL

A Simple Method for Generating Discrete Multi-Component Integrable Hierarchy

YAO Yu-Qin^1**, ZENG Yun-Bo²

¹Department of Applied Mathematics, China Agricultural University, Beijing 100083
²Department of Mathematical Science, Tsinghua University, Beijing 100084

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YAO Yu-Qin, ZENG Yun-Bo 2010 Chin. Phys. Lett. 27 110201

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Abstract For M×N spectral matrix, a kind of operation ʘ which satisfies combination law (aʘb)ʘc=aʘ(bʘc) is introduced. The discrete multi−component zero-curvature equation is deduced by using the new operation ʘ, and a simple method for constructing discrete multi-component integrable hierarchy is proposed. As its application, the multi-component Toda hierarchy and its two kinds of integrable couplings are worked out.

Keywords: 02.03.Ik

Received: 21 June 2010 Published: 22 October 2010

PACS:

02.03.Ik

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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/11/110201 OR https://cpl.iphy.ac.cn/Y2010/V27/I11/110201

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	YAO Yu-Qin
	ZENG Yun-Bo

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