关于德林费尔德-索科洛夫层次还原法产生的方程

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-05-21 DOI:arxiv-2405.12606

R. ConteENS Paris Saclay

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引用次数: 0

摘要

通过还原 Drinfeld-Sokolov 层次结构而产生的一个七阶常微分方程（ODE）被证明与 Sawada-Kotera 层次结构中一个方程的相似性还原相同。

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On an equation arising by reduction of the Drinfeld-Sokolov hierarchy

A seventh order ordinary differential equation (ODE) arising by reduction of the Drinfeld-Sokolov hierarchyis shown to be identical to a similarity reduction of an equationin the hierarchy of Sawada-Kotera.We also exhibit its link with a particular F-VI,a fourth order ODE isolated by Cosgrove which is likely to define a higher order Painlev\'e function.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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