Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables

2007/06/06 by Yusuke Sasano, Sasano, Yusuke
Physics and Astronomy · #32S65 #34M45 #34M55 #58F05 #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0706.0799

openalex publication_date 2007/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present \it symmetric Hamiltonians for the degenerate Garnier systems in two variables. For these symmetric Hamiltonians, we make the symmetry and holomorphy conditions, and we also make a generalization of these systems involving symmetry and holomorphy conditions inductively. We also show the confluence process among each system by taking the coupling confluence process of the Painlevé systems.

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