Nonautonomous discrete elementary Toda orbits and their ultradiscretization
Nonautonomous discrete elementary Toda orbits and their ultradiscretization
复制标题
非自治离散基本Toda轨道及其超离散化
DOI：
10.1088/1751-8121/ac2cff
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Kobayashi Katsuki
中科院分区：
文献类型：
--
作者：
Kobayashi Katsuki;Tsujimoto Satoshi;Kobayashi Katsuki
通过对某些双正交Laurent多项式的谱变换，我们得到了基本Toda轨道的非自治离散模拟。利用双正交多项式理论，得到了该系统的特解。所得到的系统可以写成无减法的形式，从而可以超离散。我们引入了一族新的元胞自动机，推广了Takahashi和SatSuma的具有载体容量的箱球系统。
We derive a nonautonomous discrete analogue of the elementary Toda orbits via a spectral transformation of certain biorthogonal Laurent polynomials. We obtain particular solutions of the system by using the theory of biorthogonal polynomials. The obtained system can be written in subtraction-free form and thus can be ultradiscretized. We introduce a new family of cellular automata generalizing Takahashi and Satsuma's box-ball system with a carrier capacity.