中国物理B ›› 2005, Vol. 14 ›› Issue (5): 869-874.doi: 10.1088/1009-1963/14/5/001

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A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy　　

徐西祥1, 杨洪祥2   

  1. (1)College of Science, Shandong University of Science and Technology, Qingdao Shandong, 266510; (2)Department of Computer Science and Technology, Taishan College, Shandong Taian, 271021
  • 收稿日期:2004-01-09 修回日期:2004-11-22 出版日期:2005-05-19 发布日期:2005-05-19

A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy

Yang Hong-Xiang (杨洪祥)a,  Xu Xi-Xiang(徐西祥)b   

  1. a Department of Computer Science and Technology, Taishan College, Taian 271021，China; b College of Science, Shandong University of Science and Technology, Qingdao 266510，China
  • Received:2004-01-09 Revised:2004-11-22 Online:2005-05-19 Published:2005-05-19

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摘要： An isospectral problem is established by means of a sub-algebra of Loop Lie algebra ?1, from which the coupled AKNS-Kaup-Newell soliton hierarchy is derived. Subsequently, the integrable expending model i.e. integrable coupling is constructed through enlarging the corresponding Loop algebra into ?2.

关键词: Coupled AKNS-Kaup-Newell soliton hierarchy, Loop Lie algebra, Integrable coupling

Abstract: An isospectral problem is established by means of a sub-algebra of Loop Lie algebra $\tilde{A}_1$, from which the coupled AKNS-Kaup-Newell soliton hierarchy is derived. Subsequently, the integrable expending model i.e. integrable coupling is constructed through enlarging the corresponding Loop algebra into $\tilde{A}_2$.

Key words: Coupled AKNS-Kaup-Newell soliton hierarchy, Loop Lie algebra, Integrable coupling

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Ik (Integrable systems) 02.10.Ud (Linear algebra)