Volume 21, Issue 3, June 2014, Pages 357 - 370
Symmetric solutions to the four dimensional degenerate Painlevé type equation NYA4
Authors
Kazuo Kaneko
Seki Kowa Institute of Mathematics, Yokkaichi University, 1200, Kayauchyou, Yokkaichi City, Mie, 512-8512, Japandr_kaneko_k@yahoo.co.jp
Received 27 November 2013, Accepted 30 March 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.936757How to use a DOI?
- Keywords
- the four dimensional degenerate Painlevé type equation; monodromy data; Bäcklund transformation
- Abstract
We have classified symmetric solutions around the origin to the four dimensional degenerate Painlevé type equation NYA4 with generic values of parameters. We obtained sixteen meromorphic solutions, which are transformed each other by the Bäcklund transformation. We calculated the linear monodromy for one of them, explicitly.
- Copyright
- © 2014 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 - Kazuo Kaneko PY - 2021 DA - 2021/01/06 TI - Symmetric solutions to the four dimensional degenerate Painlevé type equation NYA₄ JO - Journal of Nonlinear Mathematical Physics SP - 357 EP - 370 VL - 21 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.936757 DO - 10.1080/14029251.2014.936757 ID - Kaneko2021 ER -