| On （2＋1）-Dimensional Non-isospectral Toda Lattice Hierarchy and Integrable Coupling System |
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| 作者姓名： | YU Fa-Jun |
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| 作者单位： | [1]College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, China; [2]Department of Mathematics, Dalian University of Technology, Dalian 116024, China |
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| 基金项目： | The project supported by the State Key Basic Research Development Program of China under Grant No. 2004CB318000 |
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| 摘 要： | By considering （2＋1）-dimensional non-isospectral discrete zero curvature equation, the （2＋1）-dimensional non-isospectral Toda lattice hierarchy is constructed in this article. It follows that some reductions of the （2＋1）- dimensional Toda lattice hierarchy are given. Finally, the （2＋1）-dimensional integrable coupling system of the Toda lattice hierarchy is obtained through enlarging spectral problem.
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| 关 键 词： | 空间 晶格 曲率 方程 计算方法 |
| 收稿时间： | 2007-01-12 |
On (2+1)-Dimensional Non-isospectral Toda Lattice
Hierarchy and Integrable Coupling System |
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| YU Fa-Jun.On (2+1)-Dimensional Non-isospectral Toda Lattice
Hierarchy and Integrable Coupling System[J].Communications in Theoretical Physics,2008,49(3):549-554. |
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| Authors: | YU Fa-Jun |
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| Institution: | College of Maths and Systematic Science, Shenyang Normal
University, Shenyang 110034, China
;Department of Mathematics, Dalian University of Technology,
Dalian 116024, China |
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| Abstract: | By considering (2+1)-dimensional non-isospectral discrete zero curvature equation, the (2+1)-dimensional
non-isospectral Toda lattice hierarchy is constructed in this article. It follows that some reductions of the (2+1)-dimensional Toda lattice hierarchy are given. Finally, the (2+1)-dimensional integrable coupling system of the Toda lattice hierarchy is obtained through enlarging spectral problem. |
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| Keywords: | discrete zero curvature equation non-isospectral Toda lattice integrable coupling |
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