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.
Received: 07 January 2009
Revised: 22 February 2009
Accepted manuscript online:
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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