中国物理B ›› 2004, Vol. 13 ›› Issue (2): 125-131.doi: 10.1088/1009-1963/13/2/001

• GENERAL •    下一篇

A hierarchy of lattice soliton equations and its Darboux transformation

丁海勇, 徐西祥, 赵向东   

  1. Department of Basic Course, Shandong University of Science and Technology, Taian 271019, China
  • 收稿日期:2003-04-25 修回日期:2003-09-16 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the Research Foundation for the Outstanding Young and Middle-aged Scientists of Shandong Province, China.

A hierarchy of lattice soliton equations and its Darboux transformation

Ding Hai-Yong (丁海勇), Xu Xi-Xiang (徐西祥), Zhao Xiang-Dong (赵向东)   

  1. Department of Basic Course, Shandong University of Science and Technology, Taian 271019, China
  • Received:2003-04-25 Revised:2003-09-16 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the Research Foundation for the Outstanding Young and Middle-aged Scientists of Shandong Province, China.

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摘要： A new discrete spectral problem is introduced and the corresponding hierarchy of the lattice soliton equations are derived by means of the trace identity. We find a new Darboux transformation of the lattice soliton equation, through which the explicit solutions are shown.

Abstract: A new discrete spectral problem is introduced and the corresponding hierarchy of the lattice soliton equations are derived by means of the trace identity. We find a new Darboux transformation of the lattice soliton equation, through which the explicit solutions are shown.

Key words: discrete lattice equation, trace identity, Darboux transformation

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x
05.50.+q (Lattice theory and statistics) 05.45.Yv (Solitons)