| 一族新的Lax可积系及其Liouville可积性 |
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| 引用本文： | 徐西祥. 一族新的Lax可积系及其Liouville可积性[J]. 数学物理学报(A辑), 1997, 0(Z1) |
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| 作者姓名： | 徐西祥 |
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| 作者单位： | 山东矿业学院基础部!泰安271019 |
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| 摘 要： | 该文讨论了一个新的等谱特征值问题．按屠规彰格式导出了相应的Lax可积的非线性发展方程族，利用迹恒等式给出了它的Hamilton结构并且证明它是Liouville可积的．
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| 关 键 词： | 可积系 Hamilton结构 迹恒等式． |
A New Lax Integrable System and Its Liouville Integrability |
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| Xu Xixiang. A New Lax Integrable System and Its Liouville Integrability[J]. Acta Mathematica Scientia, 1997, 0(Z1) |
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| Authors: | Xu Xixiang |
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| Affiliation: | Depatment of Basic Courses .Shandong Mining Institute. Taian 271019 |
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| Abstract: | A new isospectral problem is discussed,according to Tu Guizhang scheme, the corresponding hierarchy of Lax integrable nonlinear evolution equations is derived,and their Hamiltonian struture are given by means of trace identity method. It is shown that this hierarchy is Liouville integrable. |
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| Keywords: | integrable system Hamiltonian structure trace identity |
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