| Tu方程族的高阶双约束流的分离变量 |
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| 引用本文： | 曾云波,曹昕.Tu方程族的高阶双约束流的分离变量[J].数学进展,2002,31(2):135-147. |
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| 作者姓名： | 曾云波 曹昕 |
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| 作者单位： | 清华大学数学科学系,中国,北京,100084 |
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| 基金项目： | The research was supported by the National Basic Research Project "Nonlinear Science" |
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| 摘 要： | 本文给出了Tu方程族的高阶双约束流,其自由度为2N＋l。根据通常的办法,利用Lax矩阵仅能引入N＋l对标准分离变量和N＋l个分离变量方程。本文构造出另外N对分离变量及N个分离变量方程。此外,还建立了双约束流和Tu方程族的Jacobi反演问题。
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| 关 键 词： | Tu方程族 高阶 分离变量 双约束流 Jacobi反演问题 Lax表示 Lax矩阵 |
| 修稿时间： | 1999年9月28日 |
Separation of Variables for Higher-order Binary Constrained.Flows of the Tu Hierarchy |
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| Zeng Yunbo,CAO Xin.Separation of Variables for Higher-order Binary Constrained.Flows of the Tu Hierarchy[J].Advances in Mathematics,2002,31(2):135-147. |
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| Authors: | Zeng Yunbo CAO Xin |
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| Abstract: | Higher-order binary constrained flows of the Tu hierarchy are constructed. They have 2N +l degrees of freedom. For their separation of variables only N +l pairs of canonical separated variables can be introduced via their Lax matrices by using the normal method. We construct additional N pairs of canonical separated variables and N additional separated equations for the binary constrained flows of the Tu hierarchy. Furthermore, the Jacobi inversion problems for the binary constrained flows and for the Tu hierarchy are established. |
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| Keywords: | separation of variables binary constrained flow Jacobi inversion problem Lax representation |
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