Lie Algebra and Lie Super Algebra for Integrable Couplings of C-KdV Hierarchy

doi:10.1088/0256-307X/27/4/040202

Chin. Phys. Lett.

2010, Vol. 27

Issue (4): 040202 DOI: 10.1088/0256-307X/27/4/040202

GENERAL

Lie Algebra and Lie Super Algebra for Integrable Couplings of C-KdV Hierarchy

TAO Si-Xing^1,2, XIA Tie-Cheng¹

¹Department of Mathematics, Shanghai University, Shanghai200444²Department of Mathematics, Shangqiu Normal University, Shangqiu476000

Cite this article:

TAO Si-Xing, XIA Tie-Cheng 2010 Chin. Phys. Lett. 27 040202

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Abstract

Based on the constructed Lie algebra and Lie super algebra, the integrable couplings and super-integrable couplings of the C-KdV hierarchy are obtained respectively. Furthermore, its super-Hamiltonian structures are presented by using super-trace identity.

Keywords: 02.20.Sv 02.30.Ik 02.30.Jr

Received: 05 November 2009 Published: 27 March 2010

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/4/040202 OR https://cpl.iphy.ac.cn/Y2010/V27/I4/040202

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	TAO Si-Xing
	XIA Tie-Cheng

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