Journal of Nonlinear Mathematical Physics

Volume 20, Issue Supplement 1, November 2013, Pages 130 - 152

General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory

Authors
Hironobu Kimura
Department of Mathematics, Kumamoto University, Kurokami 2-39-1 Kumamoto 8555, Japan, hiro@sci.kumamoto-u.ac.jp
Damiran Tseveenamijil
School of Economics and Business, Mongolian State University of Agriculture Zaisan-17024, Ulanbaataar, Mongolia, tsezulaa@yahoo.com
Received 3 September 2012, Accepted 28 May 2013, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2013.862441How to use a DOI?
Keywords
Isomonodromic deformation, Twistor theory, Schlesinger system
Abstract

Isomonodromic deformation of linear differential equations on ℙ1 with regular and irregular singular points is considered from the view point of twistor theory. We give explicit form of isomonodromic deformation using the maximal abelian subgroup H of G = GLN+1(ℂ) which appeared in the theory of general hypergeometric functions on a Grassmannian manifold. This formulation enables us to obtain a group of symmetry for the nonlinear system which is an Weyl group analogue NG (H)/H.

Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - Supplement 1
Pages
130 - 152
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2013.862441How to use a DOI?
Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Hironobu Kimura
AU  - Damiran Tseveenamijil
PY  - 2021
DA  - 2021/01
TI  - General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory
JO  - Journal of Nonlinear Mathematical Physics
SP  - 130
EP  - 152
VL  - 20
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.862441
DO  - https://doi.org/10.1080/14029251.2013.862441
ID  - Kimura2021
ER  -