Direct linearisation of the discrete-time two-dimensional Toda lattices
Direct linearisation of the discrete-time two-dimensional Toda lattices
复制标题
DOI：
10.1088/1751-8121/aace36
复制
发表时间：
2018-02
期刊：
影响因子：
--
通讯作者：
Wei-jie Fu
中科院分区：
文献类型：
--
作者：
Wei-jie Fu
在直接线性化框架下研究了离散时间二维Toda格子，它允许我们同时处理这类非线性方程，并构造这些方程的更一般的解。我们还考虑了该模型的周期约化，得到了-型离散二维Toda格子(相当于离散Gel‘fand-Dikii族中成员的负流)及其可积性。
The discrete-time two-dimensional Toda lattice of -type is studied within the direct linearisation framework, which allows us to deal with several nonlinear equations in this class simultaneously and to construct more general solutions of these equations. The periodic reductions of this model are also considered, giving rise to the discrete-time two-dimensional Toda lattices of -type for (which amount to the negative flows of members in the discrete Gel’fand–Dikii hierarchy) and their integrability properties.