The Darboux Transformation and New Explicit Solutions for the Belov–Chaltikian Lattice

doi:10.1088/0256-307X/29/10/100201

Chin. Phys. Lett.

2012, Vol. 29

Issue (10): 100201 DOI: 10.1088/0256-307X/29/10/100201

GENERAL

The Darboux Transformation and New Explicit Solutions for the Belov–Chaltikian Lattice

XUE Bo^**, WANG Xin

Department of Mathematics, Zhengzhou University, Zhengzhou 450001

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XUE Bo, WANG Xin 2012 Chin. Phys. Lett. 29 100201

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Abstract An N-fold Darboux transformation with multi-parameters for the famous Belov–Chaltikian lattice is derived with the aid of the gauge transformation between the corresponding discrete 3×3 matrix spectra. By using the Darboux transformation and the reduction technique, new multi-soliton solutions for the Belov–Chaltikian lattice, which are proved to be of solitary features, are given in the exponential form.

Received: 14 May 2012 Published: 01 October 2012

PACS:	02.30.Jr	(Partial differential equations)
	04.20.Jb	(Exact solutions)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/10/100201 OR https://cpl.iphy.ac.cn/Y2012/V29/I10/100201

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	XUE Bo
	WANG Xin

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