Non-autonomous multidimensional Toda system and multiple interpolation problem

Autor:	Doliwa, Adam
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Numerical Analysis
Zdroj:	J. Phys. A: Math. Theor. 55 (2022) 505202 (17 pp.)
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/acad4d
Popis:	We study the interpolation analogue of the Hermite-Pad\'e 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 $\tau$-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. Comment: 13 pages; v2 introduction expanded and references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.12502 Zobrazit plný text záznamu View this record from Arxiv