A q-analogue of the Drinfeld-Sokolov hierarchy of type A and q-Painleve system

2011/05/21 by Takao Suzuki, Suzuki, Takao · 1 citation
Engineering · Mathematics · Physics and Astronomy · #34M55 #37K10 #37K35 #39A13 #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Optical Network Technologies #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1105.4240

openalex publication_date 2011/05/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this article, we propose a q-analogue of the Drinfeld-Sokolov hierarchy of type A. We also discuss its relationship with the q-Painleve VI equation and the q-hypergeometric function.

Citations

• Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems

Cited by

• On the geometry of a 4-dimensional extension of a q-Painlevé I equation with symmetry type A₁⁽¹⁾

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