Double Integrable Couplings and Their Constructing Method

被引：0

作者：

郭福奎 ^{[1
]}

张玉峰 ^{[2
]}

机构：

[1] Information School,Shandong University of Science and Technology

[2] College of Science,China University of Mining and Technology

来源：

Communications in Theoretical Physics | 2011年 / 55卷 / 01期

基金：

中国国家自然科学基金;

关键词：

double integrable coupling; Lie algebra; loop algebra;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

To extend the study scopes of integrable couplings,the notion of double integrable couplings is proposed inthe paper.The zero curvature equation appearing in the constructing method built in the paper consists of the elementsof a new loop algebra which is obtained by using perturbation method.Therefore,the approach given in the paper hasextensive applicable values,that is,it applies to investigate a lot of double integrable couplings of the known integrablehierarchies of evolution equations.As for explicit applications of the method proposed in the paper,the double integrablecouplings of the AKNS hierarchy and the KN hierarchy are worked out,respectively.

引用

页码：6 / 12

页数：7

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