| Hierarchy of Combined TL-RTL Equations and an Associated （2＋l）-Dimensional Lattice Equation |
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| 作者姓名： | JIANG Qiao-Yun ZHOU Ru-Guang |
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| 作者单位： | [1]Department of Mathematics, Nantong University, Nantong 226007, China [2]Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10471120, the NCET-04-0518, FANEDD （No. 200013）, the Excellent Young Teachers Program of the Ministry of Education, the Project-Sponsored by SRF for R0CS, and the ＂333 Project＂ of Jiangsu Province |
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| 摘 要： | A new （29-1）-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice （TL-RTL） equations in （19991） dimensions. A Darboux transformation for the hierarchy of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the combined TL-RTL equations, as well as the new （29-1）-dimensional lattice equation are explicitly obtained by the Darboux transformation.
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| 关 键 词： | 组合TL-RTL方程 可积系统 Darboux转化 Toda晶格方程 |
| 收稿时间： | 2006-01-10 |
| 修稿时间： | 2006-01-10 |
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