Darboux Transformations via Lie Point Symmetries: KdV Equation

doi:10.1088/0256-307X/31/1/010201

Chin. Phys. Lett.

2014, Vol. 31

Issue (1): 010201 DOI: 10.1088/0256-307X/31/1/010201

GENERAL

Darboux Transformations via Lie Point Symmetries: KdV Equation

LI Yu-Qi^1,2, CHEN Jun-Chao¹, CHEN Yong¹, LOU Sen-Yue^1,2**

¹Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062
²Department of Physics, Ningbo University, Ningbo 315211

Cite this article:

LI Yu-Qi, CHEN Jun-Chao, CHEN Yong et al 2014 Chin. Phys. Lett. 31 010201

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Abstract By localizing the nonlocal symmetries of a nonlinear model to local symmetries of an enlarged system, we find Darboux-B?cklund transformations for both the original and prolonged systems. The idea is explicitly realized for the well-known KdV equation.

Received: 22 September 2013 Published: 28 January 2014

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/31/1/010201 OR https://cpl.iphy.ac.cn/Y2014/V31/I1/010201

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	LI Yu-Qi
	CHEN Jun-Chao
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	LOU Sen-Yue

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