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Chin. Phys. B, 2009, Vol. 18(9): 3651-3656    DOI: 10.1088/1674-1056/18/9/008
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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)
College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, China
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.
Keywords:  integrable coupling system      upper triangular strip matrix      Lie algebra  
Received:  07 January 2009      Revised:  22 February 2009      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.10.Ud (Linear algebra)  
  02.10.Yn (Matrix theory)  
  02.30.Ik (Integrable systems)  
Fund: Project supported by the Research Work of Liaoning Provincial Development of Education, China (Grant No 2008670).

Cite this article: 

Yu Fa-Jun(于发军) and Li Li(李丽) A new multi-component integrable coupling system for AKNS equation hierarchy with sixteen-potential functions 2009 Chin. Phys. B 18 3651

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