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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