Lattice soliton equation hierarchy and associated properties

As a new subject, soliton theory is shown to be an effective tool for describing and explaining 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 nonl...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 9; pp. 37 - 42
Main Author 郑新卿 刘金元
Format Journal Article
LanguageEnglish
Published 01.09.2012
Subjects
Hierarchies
Lattices
Magnetic fluids
Mathematical analysis
Mathematical models
Nonlinear optics
Nonlinearity
Solitons
孤立子理论
层次结构
晶格孤子方程
格子
物业
等离子体物理
非线性光学
非线性现象
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/9/090202

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Summary:As a new subject, soliton theory is shown to be an effective tool for describing and explaining 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 the lattice soliton equation and study its properties. In this study, firstly, we derive a discrete integrable system by using the Tu model. Then, some properties of the obtained equation hierarchies are discussed.
Bibliography:As a new subject, soliton theory is shown to be an effective tool for describing and explaining 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 the lattice soliton equation and study its properties. In this study, firstly, we derive a discrete integrable system by using the Tu model. Then, some properties of the obtained equation hierarchies are discussed.
discrete integrable system, Darboux transformation, conservation laws
11-5639/O4
Zheng Xin-Qing and Liu Jin-Yuan a） Personnel Department, Weifang University of Science and Technology, Weifang 261041, China b） Department of Basic Courses, Weifang University of Science and Technology, Weifang 261041, China
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SourceType-Scholarly Journals-1
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content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/9/090202