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引用次数: 0
摘要
本文的目的是同时对矩阵谱问题进行两个群约简。本文给出了两种局部群约简下的约简ablowitz - kap - newwell - segur矩阵谱问题，并构造了矩阵可积模型的相关层次，使相应的零曲率方程保持不变。这样，就可以通过零曲率方程生成各种可积模型。
Reduced AKNS Spectral Problems and Associated Complex Matrix Integrable Models
The aim of this paper is to conduct two group reductions for matrix spectral problems simultaneously. We formulate reduced Ablowitz-Kaup-Newell-Segur matrix spectral problems under two local group reductions, and construct associated hierarchies of matrix integrable models, which keep the corresponding zero curvature equations invariant. In this way, various integrable models can be generated via zero curvature equations.
期刊介绍：
Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods.
Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
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