New integrable systems related to the relativistic Toda lattice
New integrable systems related to the relativistic Toda lattice
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DOI：
10.1088/0305-4470/30/5/035
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发表时间：
1996-05
期刊：
影响因子：
--
通讯作者：
Y. Suris
中科院分区：
文献类型：
--
作者：
Y. Suris
利用相对论 Toda 晶格的双哈密顿结构来引入一些新的可积晶格系统。它们的可积离散化是通过作者最近提出的一般程序获得的。建立了新系统和相对论 Toda 晶格（连续和离散时间公式）之间的贝克兰德变换。
The bi - Hamiltonian structure of the relativistic Toda lattice is exploited to introduce some new integrable lattice systems. Their integrable discretizations are obtained by means of the general procedure proposed recently by the author. Backlund transformations between the new systems and the relativistic Toda lattice (in both the continuous and discrete time formulations) are established.