Quasi-Hamiltonian Structure Associated with an Integrable Coupling System

doi:10.1088/0256-307X/26/5/050203

Chin. Phys. Lett.

2009, Vol. 26

Issue (5): 050203 DOI: 10.1088/0256-307X/26/5/050203

GENERAL

Quasi-Hamiltonian Structure Associated with an Integrable Coupling System

LUO Lin¹, FAN En-Gui²

¹Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209²School of Mathematical Sciences, Fudan University, Shanghai 200433

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LUO Lin, FAN En-Gui 2009 Chin. Phys. Lett. 26 050203

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Abstract Starting from a spectral problem, a corresponding soliton hierarchy is proposed, and we construct an integrable coupling system with five dependent variables for the hierarchy by using a class of semi-direct sums of Lie algebras. Moreover, it is shown that the coupling system possesses quasi-Hamiltionian structures, and that infinitely many conserved quantities are obtained.

Keywords: 02.90.+p 05.45.Yv

Received: 22 January 2009 Published: 23 April 2009

PACS:	02.90.+p	(Other topics in mathematical methods in physics)
	05.45.Yv	(Solitons)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/5/050203 OR https://cpl.iphy.ac.cn/Y2009/V26/I5/050203

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	LUO Lin
	FAN En-Gui

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