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Mathematics > Classical Analysis and ODEs

arXiv:math/0405416 (math)
[Submitted on 21 May 2004]

Title:An augmentation of the phase space of the system of type A^{(1)}_4

Authors:Nobuhiko Tahara
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Abstract: We investigate the differential system with affine Weyl group symmetry of type A^{(1)}_4 and construct a space which parametrizes all meromorphic solutions of it. To demonstrate our method based on singularity analysis and affine Weyl group symmetry, we first study the system of type A^{(1)}_2, which is the equivalent of the fourth Painlevé equation, and obtain the space which augments the original phase space of the system by adding spaces of codimension 1. For the system of type A^{(1)}_4, codimension 2 spaces should be added to the phase space of the system in addition to codimension 1 spaces.
Comments: 21 pages, to be published in Kyushu J. Math
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: 34M55 (Primary) 37J35 37K35 (Secondary)
Cite as: arXiv:math/0405416 [math.CA]
  (or arXiv:math/0405416v1 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.math/0405416
Journal reference: Kyushu J. Math., Volume 58, Number 2 (2004), 393-425
Related DOI: https://doi.org/10.2206/kyushujm.58.393

Submission history

From: Nobuhiko Tahara [view email]
[v1] Fri, 21 May 2004 14:12:06 UTC (21 KB)
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