| 等谱与非等谱Kaup-Newell方程簇的B(a|¨)cklund变换 |
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| 引用本文： | 李建泉. 等谱与非等谱Kaup-Newell方程簇的B(a|¨)cklund变换[J]. 中国科学技术大学学报, 1992, 0(2) |
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| 作者姓名： | 李建泉 |
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| 作者单位： | 天津师范大学 |
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| 摘 要： | 从Kaup-Newell方程簇的Lax对出发,经变换使之成为Riccati型的Lax对,从而得到对应于这些方程簇的广义Miura变换。利用这些广义Miura变换的某类不变性,得到了等谱与非等谱Kaup-Newell方程簇的B(?)cklund变换。
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| 关 键 词： | Lax对 等谱与非等谱 Kaup-Newell方程簇的B(?)cklund变换 |
B(?)cklund Transformations for the Isospetral and Non-isospectral Kaup-Newell Hierarchies |
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| Li Jianquan. B(?)cklund Transformations for the Isospetral and Non-isospectral Kaup-Newell Hierarchies[J]. Journal of University of Science and Technology of China, 1992, 0(2) |
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| Authors: | Li Jianquan |
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| Affiliation: | Tian jin Normal University |
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| Abstract: | By transforming the Lax pairs of the Kaup-Newell hierarchies to the Riccati forms, the generalized Miura transtormations for the isospectral and non-isospectral Kaup-Newell hierarchies are obtained, and by using some invariant properties of these generalized Miura transformations the Backlund transformations for the isospectral and non-isospectral Kaup-NeweU hierarchies are obtained. |
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| Keywords: | Lax pair isospeetral and non-isospeetral Kaup-Newell hierarchies Backlund transformation |
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