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AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY
作者姓名:张玉峰  闫庆友
作者单位:Zhang Yufeng(Institute of Computational Math.,Academy of Math,and Systems Sciences,Academia Sinica,Beijing 100080; School of Information,Shandong University of Science and Technology,Taian 271019)Yan Qingyou(School of Mechnical Engineering,Dalian University of Technology,Dalian 116024; Shandong Finance College,Jinan 250014)
基金项目:This work is supported by the National Natural Science Foundation of China under grant No.10072013.
摘    要:A direct method for establishing integrable couplings is proposed in this paper by constructing a new loop algebra G. As an illustration by example, an integrable coupling of the generalized AKNS hierarchy is given. Furthermore, as a reduction of the generalized AKNS hierarchy, an integrable coupling of the well-known G J hierarchy is presented. Again a simple example for the integrable coupling of the MKdV equation is also given. This method can be used generally.


AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY
Zhang Yufeng.AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY[J].微分方程年刊(英文版),2002(4).
Authors:Zhang Yufeng
Abstract:A direct method for establishing integrable couplings is proposed in this paper by constructing a new loop algebra G. As an illustration by example, an integrable coupling of the generalized AKNS hierarchy is given. Furthermore, as a reduction of the generalized AKNS hierarchy, an integrable coupling of the well-known G J hierarchy is presented. Again a simple example for the integrable coupling of the MKdV equation is also given. This method can be used generally.
Keywords:generalized AKNS hierarchy  GJ hierarchy  MKdV equation  
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