| Drinfeld-Sokolov-Satsuma-Hirota方程族及其广义双Hamiltonian结构 |
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| 引用本文： | 杨本朝,耿献国. Drinfeld-Sokolov-Satsuma-Hirota方程族及其广义双Hamiltonian结构[J]. 郑州大学学报(理学版), 2011, 0(3) |
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| 作者姓名： | 杨本朝 耿献国 |
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| 作者单位： | 信息工程大学信息工程学院;郑州大学数学系; |
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| 摘 要： | 基于带有两个位势的4×4矩阵谱问题,导出一族非线性演化方程,其中一个典型成员是Drinfeld-Sokolov-Sa-tsuma-H irota方程.进而证明了这族方程具有广义双Ham iltonian结构并且在Liuovlle意义下是完全可积的.
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| 关 键 词： | Drinfeld-Sokolov-Satsuma-Hirota方程族 广义双Hamiltonian结构 可积性 |
Drinfeld-Sokolov-Satsuma-Hirota Equations and Generalized Bi-Hamiltonian Structures |
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| YANG Ben-chao,GENG Xian-guo. Drinfeld-Sokolov-Satsuma-Hirota Equations and Generalized Bi-Hamiltonian Structures[J]. Journal of Zhengzhou University(Natrual Science Edition), 2011, 0(3) |
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| Authors: | YANG Ben-chao GENG Xian-guo |
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| Affiliation: | YANG Ben-chao1,GENG Xian-guo2(1.Information Engineering University of the Peoples Liberation Army,Zhengzhou 450002,China,2.Department of Mathematics,Zhengzhou University,Zhengzhou 450001,China) |
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| Abstract: | A hierarchy of nonlinear evolution equations was derived from a matrix spectral problem with two potentials,in which a typical member was the Drinfeld-Sokolov-Satsuma-Hirota equation.It was shown that the hierarchy of nonlinear evolution equations possessed the generalized bi-Hamiltonian structures and was completely integrable in the Liuovlle sense. |
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| Keywords: | Drinfeld-Sokolov-Satsuma-Hirota equations generalized bi-Hamiltonian structures integrability |
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