On a discrete analogue of the two-dimensional Toda lattice hierarchy

On a discrete analogue of the two-dimensional Toda lattice hierarchy
复制标题

二维 Toda 格层次的离散模拟

DOI:
10.2977/prims/1145476418
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发表时间:
2002
影响因子:
1.2
通讯作者:
S. Tsujimoto
S. Tsujimoto
中科院分区:
数学3区
文献类型:
--
作者:
S. Tsujimoto

文献摘要

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通过推广户田格族理论,得到了二维户田格族的离散模拟,它包括二维户田格族方程的离散模拟.给出了二维户田格族离散模拟的特解和双线性方程。结果表明,Sato理论所提出的问题对于离散时间可积系统是有用的。
A discrete analogue of the two-dimensional Toda lattice hierarchy, which includes the discrete analogue of the two-dimensional Toda lattice equation, is obtained by extending the theory of the Toda lattice hierarchy. Special solutions and bilinear equations for the discrete analogue of the two-dimensional Toda lattice hierarchy are presented. It is shown that the subjects originated from the Sato theory are useful for the discrete-time integrable systems.