Abstract A hierarchy of non-isospectral Ablowitz--Kaup--Newell--Segur (AKNS) equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear Schr\"{o}dinger equations (NLSE) with self-consistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product.
Received: 31 March 2008
Revised: 29 May 2008
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), Li Li (李 丽) Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources 2008 Chin. Phys. B 17 3965
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