Schlesinger transformations for discrete second Painlevé equation: d-PII

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Schlesinger_transformations_for_discrete_second_Painleve_equation_d_PII.pdf (165.01 KB)

Date

2005

Authors

Muǧan, U.
Sakka, A.
Santini P. M.

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Source Title

Physics Letters, Section A : General, Atomic and Solid State Physics

Print ISSN

0375-9601

Electronic ISSN

1873-2429

Publisher

Elsevier BV * North-Holland

Volume

336

Issue

1

Pages

37 - 45

Language

English

Type

Article

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Abstract

A method to obtain the Schlesinger transformations for the standard discrete second Painlevé equation, d-PII, is given. The procedure involves formulating a Riemann-Hilbert problem for a transformation matrix which transforms the solution of the linear problem but leaves the associated monodromy data the same. © 2005 Elsevier B.V. All rights reserved.

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Keywords

Discrete Painlevé equations, Inverse monodromy method, Schlesinger transformations, article, data analysis, mathematical analysis, technique

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http://hdl.handle.net/11693/24107

Published Version (Please cite this version)

http://dx.doi.org/10.1016/j.physleta.2005.01.003

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Scholarly Publications - Mathematics