Journal of Nonlinear Mathematical Physics

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Volume 13, Issue 4, November 2006, Pages 584 - 611

The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations

Authors
Kouichi Takemura
Corresponding Author
Kouichi Takemura
Received 28 February 2006, Accepted 28 May 2006, Available Online 1 November 2006.
DOI
10.2991/jnmp.2006.13.4.11How to use a DOI?
Abstract

We obtain isomonodromic transformations for Heun's equation by generalizing the Darboux transformation, and we find pairs and triplets of Heun's equation which have the same monodromy structure. By composing generalized Darboux transformations, we establish a new construction of the commuting operator which ensures that the finite-gap property is satisfied. As an application, we prove some previous conjectures in part III.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 4
Pages
584 - 611
Publication Date
2006/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2006.13.4.11How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Kouichi Takemura
PY  - 2006
DA  - 2006/11/01
TI  - The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 584
EP  - 611
VL  - 13
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.4.11
DO  - 10.2991/jnmp.2006.13.4.11
ID  - Takemura2006
ER  -