中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/21/9/090202

• GENERAL • 上一篇    下一篇

Lattice soliton equation hierarchy and associated properties

郑新卿a, 刘金元b   

  1. 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
  • 收稿日期:2011-12-29 修回日期:2012-02-22 出版日期:2012-08-01 发布日期:2012-08-01

Lattice soliton equation hierarchy and associated properties

Zheng Xin-Qing (郑新卿)a, Liu Jin-Yuan (刘金元)b   

  1. 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
  • Received:2011-12-29 Revised:2012-02-22 Online:2012-08-01 Published:2012-08-01
  • Contact: Liu Jin-Yuan E-mail:liujinyuan2000@126.com

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摘要： 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.

关键词: discrete integrable system, Darboux transformation, conservation laws

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.

Key words: discrete integrable system, Darboux transformation, conservation laws

中图分类号:  (Integrable systems)

  • 02.30.Ik
02.30.Jr (Partial differential equations) 11.30.-j (Symmetry and conservation laws)