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A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings
Authors:Ye-Peng Sun  Hon-Wah Tam
Affiliation:1. Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, PR China;2. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, PR China
Abstract:A hierarchy of non-isospectral multi-component AKNS equations is derived from an arbitrary order matrix spectral problem. As a reduction, non-isospectral multi-component Schrödinger equations are obtained. Moreover, new non-isospectral integrable couplings of the resulting AKNS soliton hierarchy are constructed by enlarging the associated matrix spectral problem.
Keywords:02.30.Ik
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