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This article is cited in 4 scientific papers (total in 4 papers)
Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data
Shun Shimomura Department of Mathematics, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
Abstract:
For the Schlesinger-type equation related to the fifth Painlevé equation (V) via isomonodromy deformation, we present a three-parameter family of matrix solutions along the imaginary axis near the point at infinity, and also the corresponding monodromy data. Two-parameter solutions of (V) with their monodromy data immediately follow from our results. Under certain conditions, these solutions of (V) admit sequences of zeros and of poles along the imaginary axis. The monodromy data are obtained by matching techniques for a perturbed linear system.
Keywords:
Schlesinger-type equation; fifth Painlevé equation; isomonodromy deformation; monodromy data.
Received: May 1, 2018; in final form October 3, 2018; Published online October 22, 2018
Citation:
Shun Shimomura, “Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data”, SIGMA, 14 (2018), 113, 50 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1412 https://www.mathnet.ru/eng/sigma/v14/p113
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Abstract page: | 104 | Full-text PDF : | 25 | References: | 18 |
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