| Toda链方程的Casoratian解 |
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| 引用本文： | 陈鹏,王广胜,张大军,尹付梅. Toda链方程的Casoratian解[J]. 上海大学学报(自然科学版), 2007, 13(2): 184-188 |
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| 作者姓名： | 陈鹏 王广胜 张大军 尹付梅 |
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| 作者单位： | 上海大学,理学院,上海,200444;上海大学,理学院,上海,200444;上海大学,理学院,上海,200444;上海大学,理学院,上海,200444 |
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| 摘 要： | 以Toda链为例，介绍一种构造Casoratian元素的矩阵代数方法，用以获得Toda链的Casoratian条件方程组的通解，由此引出Toda链的孤子解、Jordan块解、complexiton解及混合解.
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| 关 键 词： | Toda链 Casoratian解 双线性方程 |
| 文章编号： | 1007-2861（2007）02-0184-05 |
| 收稿时间： | 2006-06-19 |
| 修稿时间： | 2006-06-19 |
Casoratian Solutions to Toda Lattice |
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| CHEN Peng,WANG Guang-sheng,ZHANG Da-jun,YIN Fu-mei. Casoratian Solutions to Toda Lattice[J]. Journal of Shanghai University(Natural Science), 2007, 13(2): 184-188 |
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| Authors: | CHEN Peng WANG Guang-sheng ZHANG Da-jun YIN Fu-mei |
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| Affiliation: | School of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | A matrix algebra approach to construction of Casoratian entries is introduced. Taking the Toda lattice as an example, all possible solutions for its Casoratian condition equations are derived. As a result, soliton solutions,Jordan-block solutions, complexiton solutions and mixed solutions to the Toda lattice are obtained. |
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| Keywords: | Toda lattice Casoratian solution bilinear form |
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