Modification of the Clarkson--Kruskal Direct Method for a Coupled System

Chin. Phys. Lett.

2007, Vol. 24

Issue (10): 2720-2723 DOI:

Original Articles

Modification of the Clarkson--Kruskal Direct Method for a Coupled System

QIAN Su-Ping^1,2;TIAN Li-Xin²

¹Department of Mathematics, Changshu Institute of Technology, Changshu 215500²Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013

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QIAN Su-Ping, TIAN Li-Xin 2007 Chin. Phys. Lett. 24 2720-2723

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Abstract A new idea is put forward to modify the Clarkson--Kruskal (CK) direct method. Using the usual CK direct method to a coupled KdV system, two types of usual similarity reductions can be obtained. However, the application of the modified CK direct method leads to three types of new similarity reductions different from the usual ones.

Keywords: 02.30.Jr 02.30.Ik 05.45.Yv 47.32.-y 47.35.+i

Received: 11 February 2007 Published: 20 September 2007

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)
	47.32.-y	(Vortex dynamics; rotating fluids)
	47.35.+i

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2007/V24/I10/02720

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	QIAN Su-Ping
	TIAN Li-Xin

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