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Volume 25, Issue 4, July 2018, Pages 509 - 514
On a surface isolated by Gambier
Authors
Runliang Lin
Department of mathematical sciences, Tsinghua University, Beijing 100084, P.R. China,RLin@mail.tsinghua.edu.cn
Robert Conte
1Centre de mathématiques et de leurs applications, École normale supérieure de Cachan, CNRS, Université Paris-Saclay, 61, avenue du Président Wilson, F–94235 Cachan, France
2Department of mathematics, The University of Hong Kong, Pokfulam Road, Hong KongRobert.Conte@cea.fr
Received 21 November 2017, Accepted 6 May 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1503393How to use a DOI?
- Keywords
- Surfaces of Voss and Guichard; Lax pair; Painlevé III
- Abstract
We provide a Lax pair for the surfaces of Voss and Guichard, and we show that such particular surfaces considered by Gambier are characterized by a third Painlevé function.
- Copyright
- © 2018 The Authors. Published by Atlantis 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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TY - JOUR AU - Runliang Lin AU - Robert Conte PY - 2021 DA - 2021/01/06 TI - On a surface isolated by Gambier JO - Journal of Nonlinear Mathematical Physics SP - 509 EP - 514 VL - 25 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1503393 DO - 10.1080/14029251.2018.1503393 ID - Lin2021 ER -