| 一族藕合的KdV方程及其广义双Hamiltonian结构 |
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| 引用本文： | 李春霞.一族藕合的KdV方程及其广义双Hamiltonian结构[J].郑州大学学报(理学版),2002,34(2):6-10. |
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| 作者姓名： | 李春霞 |
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| 作者单位： | 郑州大学数学系,郑州,450052 |
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| 摘 要： | 通过引进一个有三个位势的4×4矩阵谱问题,导出一族新的非线性演化方程,其中一个典型的方程是KdV方程.此外,这族方程还具有广义双Hamiltonian结构.
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| 关 键 词： | Lenard算子对 孤子族 KdV方程 广义双Hamiltonian结构 |
A Hierarchy of Coupled Korteweg-de Vries Equations and Their Generalized Bi-Hamiltonian Structures |
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| Abstract.A Hierarchy of Coupled Korteweg-de Vries Equations and Their Generalized Bi-Hamiltonian Structures[J].Journal of Zhengzhou University:Natural Science Edition,2002,34(2):6-10. |
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| Authors: | Abstract |
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| Abstract: | By introducing a 4×4 matrix spectral problem with three potentials, a new hierarchy of nonlinear evolution equations is derived. A typical equation in the hierarchy is a coupled KdV equation. In addition, it is shown that the hierarchy possesses the generalized bi-Hamiltonian structures. |
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| Keywords: | Lenard operators soliton hierarchy bi-Hamiltonian structures |
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