Classical solutions of the degenerate Garnier system and their coalescence structures

2004/12/03 by Takao Suzuki, Suzuki, Takao
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0412010

15 pages

arxiv created 2004/12/03 · arxiv updated 2009/12/01

Abstract

We study the degenerate Garnier system which generalizes the fifth Painlevé equation. We present two classes of particular solutions, classical transcendental and algebraic ones. Their coalescence structure is also investigated.

Related

• Classical transcendental solutions of the Painlevé equations and their degeneration
• New Coalescences for the Painlevé Equations
• Degeneration scheme of 4-dimensional Painlevé-type equations
• The geometry of the classical solutions of the Garnier systems
• Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables