A Discrete Lax-Integrable Coupled  System Related to Coupled KdV and Coupled mKdV Equations

Chin. Phys. Lett.

2007, Vol. 24

Issue (10): 2717-2719 DOI:

Original Articles

A Discrete Lax-Integrable Coupled System Related to Coupled KdV and Coupled mKdV Equations

LIU Ping ¹;JIA Man ^1,2; LOU Sen-Yue^1,2

¹Department of Physics, Shanghai Jiao Tong University, Shanghai 200240²Center of Nonlinear Science, Ningbo University, Ningbo 315211

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LIU Ping, JIA Man, LOU Sen-Yue 2007 Chin. Phys. Lett. 24 2717-2719

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Abstract A modified Korteweg--de Vries (mKdV) lattice is found to be also a discrete Korteweg--de Vries (KdV) equation. A discrete coupled system is derived from the single lattice equation and its Lax pair is proposed. The coupled system is shown to be related to the coupled KdV and coupled mKdV systems which are widely used in physics.

Keywords: 02.30.Ik 47.35.Fg 02.30.Jr

Received: 23 June 2007 Published: 20 September 2007

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

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2007/V24/I10/02717

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	LIU Ping
	JIA Man
	LOU Sen-Yue

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