Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 2
Pages
57 - 68
Publication Date
2003/12/01
ISBN
91-974824-0-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s2.9How 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

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  -