中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3651-3656.doi: 10.1088/1674-1056/18/9/008

• GENERAL • 上一篇    下一篇

A new multi-component integrable coupling system for AKNS equation hierarchy with sixteen-potential functions

于发军, 李丽   

  1. College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, China
  • 收稿日期:2009-01-07 修回日期:2009-02-22 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the Research Work of Liaoning Provincial Development of Education, China (Grant No 2008670).

A new multi-component integrable coupling system for AKNS equation hierarchy with sixteen-potential functions

Yu Fa-Jun(于发军)† and Li Li(李丽)   

  1. College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, China
  • Received:2009-01-07 Revised:2009-02-22 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the Research Work of Liaoning Provincial Development of Education, China (Grant No 2008670).

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摘要： It is shown in this paper that the upper triangular strip matrix of Lie algebra can be used to construct a new integrable coupling system of soliton equation hierarchy. A direct application to the Ablowitz--Kaup--Newell-- Segur(AKNS) spectral problem leads to a novel multi-component soliton equation hierarchy of an integrable coupling system with sixteen-potential functions. It is indicated that the study of integrable couplings when using the upper triangular strip matrix of Lie algebra is an efficient and straightforward method.

Abstract: It is shown in this paper that the upper triangular strip matrix of Lie algebra can be used to construct a new integrable coupling system of soliton equation hierarchy. A direct application to the Ablowitz--Kaup--Newell-- Segur(AKNS) spectral problem leads to a novel multi-component soliton equation hierarchy of an integrable coupling system with sixteen-potential functions. It is indicated that the study of integrable couplings when using the upper triangular strip matrix of Lie algebra is an efficient and straightforward method.

Key words: integrable coupling system, upper triangular strip matrix, Lie algebra

中图分类号:  (Solitons)

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