Lattice soliton equation hierarchy and associated properties

doi:10.1088/1674-1056/21/9/090202

Abstract As a new subject, soliton theory is shown to be an effective tool for describing and explaining the nonlinear phenomena in nonlinear optics, super conductivity, plasma physics, magnetic fluid, etc. Thus, the study of soliton equations has always been one of the most prominent events in the field of nonlinear science during the past few years. Moreover, it is important to seek lattice soliton equation and study its properties. In this study, firstly, we derive a discrete integrable system by use of Tu model. Then, some properties of the obtained equation hierarchies are discussed.

Keywords: discrete integrable system Darboux transformation conservation laws

Received: 29 December 2011
Revised: 22 February 2012
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)
	11.30.-j	(Symmetry and conservation laws)

Corresponding Authors: Liu Jin-Yuan
E-mail: liujinyuan2000@126.com

Cite this article:

Zheng Xin-Qing (郑新卿), Liu Jin-Yuan (刘金元) Lattice soliton equation hierarchy and associated properties 2012 Chin. Phys. B 21 090202

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Lattice soliton equation hierarchy and associated properties

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