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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 096, 50 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.096 (Mi sigma1296) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji–Suzuki Systems

Hiroshi Kawakami

College of Science and Engineering, Aoyama Gakuin University, 5-10-1 Fuchinobe, Chuo-ku, Sagamihara-shi, Kanagawa 252-5258, Japan
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DOI: https://doi.org/10.3842/SIGMA.2017.096
Abstract: This is the last part of a series of three papers entitled “Four-dimensional Painlevé-type equations associated with ramified linear equations”. In this series of papers we aim to construct the complete degeneration scheme of four-dimensional Painlevé-type equations. In the present paper, we consider the degeneration of the Garnier system in two variables and the Fuji–Suzuki system.
Keywords: isomonodromic deformation; Painlevé equations; degeneration; integrable systems.
Received: April 19, 2017; in final form December 7, 2017; Published online December 25, 2017
Bibliographic databases:
Document Type: Article
MSC: 34M55; 34M56; 33E17
Language: English
Citation: Hiroshi Kawakami, “Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji–Suzuki Systems”, SIGMA, 13 (2017), 096, 50 pp.
Citation in format AMSBIB
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\by Hiroshi~Kawakami
\paper Four-Dimensional Painlev\'e-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji--Suzuki Systems
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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