Volume 10, Issue Supplement 2, December 2003, Pages 57 - 68
On the Transformations of the Sixth Painlevé Equation
Authors
Valery I. Gromak, Galina Filipuk
Corresponding Author
Valery I. Gromak
Available Online 1 December 2003.
- DOI
- 10.2991/jnmp.2003.10.s2.9How to use a DOI?
- Abstract
In this paper we investigate relations between different transformations of the slutions of the sixth Painlevé equation. We obtain nonlinear superposition formulas linking solutions by means of the Bäcklund transformation. Algebraic solutions are also studied with the help of the Bäcklund transformation.
- 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
TY - JOUR AU - Valery I. Gromak AU - Galina Filipuk PY - 2003 DA - 2003/12/01 TI - On the Transformations of the Sixth Painlevé Equation JO - Journal of Nonlinear Mathematical Physics SP - 57 EP - 68 VL - 10 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2003.10.s2.9 DO - 10.2991/jnmp.2003.10.s2.9 ID - Gromak2003 ER -