| Integrable couplings of a generalized AKNS hierarchy |
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| 作者姓名： | 张玉峰 张鸿庆 闫庆友 |
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| 作者单位： | ZHANG Yu feng 1，2，ZHANG Hong qing 3，YAN Qing you 31.State Key Laboratory of Scientific and Engineering Computing，Academia Sinica，Beijing 100080，China; 2.School of Information，Shandong University of Science and Technology，Taian 271019，Chin |
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| 基金项目： | heNationalNaturalScienceFoundationofChina (No.1 0 0 72 0 1 3)，theNational“973”ProgramofChina(G1 9980 30 60 0 ) . |
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| 摘 要： | 1 ＩＮＴＲＯＤＵＣＴＩＯＮＩｎｔｅｇｒａｂｌｅｃｏｕｐｌｉｎｇｓａｒｅａｎｉｎｔｅｒｅｓｔｉｎｇａｓｐｅｃｔｉｎｔｈｅｆｉｅｌｄｓｏｆｓｏｌｉｔｏｎｔｈｅｏｒｙ .ＩｔｏｒｉｇｉｎａｔｅｓｆｒｏｍａｎｉｎｖｅｓｔｉｇａｔｉｏｎｏｎｃｅｎｔｅｒｌｅｓｓＶｉｒ
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| 收稿时间： | 10 May 2001 |
Integrable couplings of a generalized AKNS hierarchy |
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| Zhang Yu-feng , Zhang Hong-qing and Yan Qing-you.Integrable couplings of a generalized AKNS hierarchy[J].Journal of Central South University of Technology,2002,9(3):220-223. |
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| Authors: | Zhang Yu-feng Zhang Hong-qing and Yan Qing-you |
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| Affiliation: | State Key Laboratory of Scientific and Engineering Computing, Academia Sinica, Beijing 100080, China;School of Information, Shandong University of Science and Technology, Taian 271019, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | A generalized AKNS isospectral problem where the trace of corresponding spectral matrix is not zero, is transformed to a new isospectral problem where the trace of the resulting matrix is zero, by using transformation of Lax pairs, and these two spectral problems lead to the same hierarchy of equations. The authors started from the transformed spectral problem and constructed a new loop algebra which has not appeared before, and obtained the integrable coupling of the generalized AKNS hierarchy. Specially, the integrable couplings of the KdV equation and MKdV equation are obtained. |
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| Keywords: | integrable coupling AKNS hierarchy spectral problem |
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