| AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY |
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| 作者姓名： | 张玉峰 闫庆友 |
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| 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) |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China under grant No.10072013. |
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| 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.
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AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY |
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| Zhang Yufeng.AN INTEGRABLE COUPLING OF THE GENERALIZED AKNS HIERARCHY[J].微分方程年刊(英文版),2002(4). |
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| Authors: | Zhang Yufeng |
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| 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. |
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| Keywords: | generalized AKNS hierarchy GJ hierarchy MKdV equation |
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