Note on the Lax Pair of a Coupled Hybrid System

doi:10.1088/0256-307X/29/1/010202

Chin. Phys. Lett.

2012, Vol. 29

Issue (1): 010202 DOI: 10.1088/0256-307X/29/1/010202

GENERAL

Note on the Lax Pair of a Coupled Hybrid System

LIU Ping^1**, FU Pei-Kai²

¹Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402
²Academic Affairs Division, Zhongshan Polytechnic, Zhongshan 528404

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LIU Ping, FU Pei-Kai 2012 Chin. Phys. Lett. 29 010202

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Abstract The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation. The coupled hybrid lattice, which is pointed out to be a discrete coupled KdV system, is also found to be a discrete form of a coupled mKdV system. New lax pairs for the single and coupled discrete hybrid systems are proposed as a different study from previous ones.

Keywords: 02.30.Ik 47.35.Fg 02.30.Jr

Received: 20 February 2011 Published: 07 February 2012

PACS:	02.30.Ik	(Integrable systems)
	47.35.Fg	(Solitary waves)
	02.30.Jr	(Partial differential equations)

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	LIU Ping
	FU Pei-Kai

[1] Jia M, Liu P, and Lou S Y 2008 J. Math. Phys. 49 072901
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