Holomorphy conditions of Fuji-Suzuki coupled Painlevé VI system

2007/07/02 by Yusuke Sasano, Sasano, Yusuke · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.0707.0112

Abstract

In this note, we give some holomorphy conditions of Fuji-Suzuki coupled Painlevé VI system. We also give two translation operators acting on the constant parameter η. We note a confluence process from the Fuji-Suzuki system to the Noumi-Yamada system of type A₅⁽¹⁾.

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• Initial value space of the fourth order Painlevé system with A₅⁽¹⁾× A₁⁽¹⁾ symmetry

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