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A型Drinfeld-Sokolov层次的相似约化的泊松结构

Poisson structures for a similarity reduction of the Drinfeld-Sokolov hierarchy of type $A$

Takao Suzuki

arXiv 2608.15484首次发表:更新:

AI 中文总结

本文研究A型Drinfeld-Sokolov层次的相似约化,将其表示为两类哈密顿系统,还探讨了该相似约化与等单值形变系统的联系。

AI 中文摘要

本文研究A型Drinfeld-Sokolov层次及其相似约化,该相似约化可表示为两类哈密顿系统,一类带泊松括号,另一类带正则坐标的泊松括号,还探讨了该相似约化与等单值形变系统之间的联系。

英文摘要

In this article we consider the Drinfeld-Sokolov hierarchy of type $A$ and its similarity reduction. Then the similarity reduction is expressed as $2$ types of Hamiltonian systems, one is with a Poisson bracket and another a Poisson bracket of canonical coordinates. We also investigate a connection between the similarity reduction and the isomonodromy deformation system.

Comments21 pages

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