中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110202-110202.doi: 10.1088/1674-1056/21/11/110202

• GENERAL • 上一篇    下一篇

A nonlinear discrete integrable coupling system and its infinite conservation laws

于发军   

  1. School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
  • 收稿日期:2012-01-18 修回日期:2012-05-22 出版日期:2012-10-01 发布日期:2012-10-01
  • 基金资助:
    Project supported by the Postdoctoral Science Foundation of China (Grant No. 2011M500404 ) and the Program for Liaoning Excellent Talents in University, China (Grant No. LJQ2011119).

A nonlinear discrete integrable coupling system and its infinite conservation laws

Yu Fa-Jun (于发军 )   

  1. School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
  • Received:2012-01-18 Revised:2012-05-22 Online:2012-10-01 Published:2012-10-01
  • Contact: Yu Fa-Jun E-mail:yfajun@163.com
  • Supported by:
    Project supported by the Postdoctoral Science Foundation of China (Grant No. 2011M500404 ) and the Program for Liaoning Excellent Talents in University, China (Grant No. LJQ2011119).

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摘要： We construct a nonlinear integrable coupling of discrete soliton hierarchy, and establish the infinite conservation laws (CLs) for the nonlinear integrable coupling of the lattice hierarchy. As an explicit application of the method proposed in the paper, the infinite conservation laws of the nonlinear integrable coupling of the Volterra lattice hierarchy are presented.

关键词: nonlinear integrable coupling system, infinite conservation law, Volterra lattice hierarchy

Abstract: We construct a nonlinear integrable coupling of discrete soliton hierarchy, and establish the infinite conservation laws (CLs) for the nonlinear integrable coupling of the lattice hierarchy. As an explicit application of the method proposed in the paper, the infinite conservation laws of the nonlinear integrable coupling of the Volterra lattice hierarchy are presented.

Key words: nonlinear integrable coupling system, infinite conservation law, Volterra lattice hierarchy

中图分类号:  (Lie algebras of Lie groups)

  • 02.20.Sv
02.30.Ik (Integrable systems) 02.30.Jr (Partial differential equations)