论文标题
非自治的多维TODA系统和多个插值问题
Non-autonomous multidimensional Toda system and multiple interpolation problem
论文作者
论文摘要
我们研究了I型I型近似问题的插值类似物。我们提供其决定性解决方案，并写下相应的可集成离散系统，以减少Hirota离散的Kadomtsev-Petviashvili方程。除了系统的$τ$ - 功能形式外，我们还提供了其变体，在最简单的情况下，尺寸为二的两个将其降低到非自治的离散时间TODA方程。
We study the interpolation analogue of the Hermite-Padé type I approximation problem. We provide its determinant solution and we write down the corresponding integrable discrete system as an admissible reduction of Hirota's discrete Kadomtsev-Petviashvili equations. Apart from the $τ$-function form of the system we provide its variant, which in the simplest case of dimension two reduces to the non-autonomous discrete-time Toda equations.
