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

Takao Suzuki

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arXiv · 2608.15484

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

Takao Suzuki

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Abstract

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.

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Takao Suzuki. 2026-08-16. Poisson structures for a similarity reduction of the Drinfeld-Sokolov hierarchy of type $A$. https://arxiv.org/abs/2608.15484

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