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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus


IMPACT FACTOR 2017: 1.414

CiteScore 2018: 1.15

SCImago Journal Rank (SJR) 2018: 0.370
Source Normalized Impact per Paper (SNIP) 2018: 0.431

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1865-7109
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Volume 60, Issue 10

Issues

Bäcklund Transformations for Fifth-order Painlevé Equations

Ayman Hashem Sakka
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-2005-1002

In this article we study Bäcklund transformations of the fifth-order Painlevé equations Fif-I, Fif-II, Fif-III and Fif-IV. We derive Bäcklund transformations between these equations and new fifth-order Painlevé equations. The method of derivation is based on the idea of seeking transformations that preserve the Painlevé property. Moreover we give first integrals for the new equations. - MSC2000 classification scheme numbers: 34M55, 35Q51, 37K35

Keyword : Bäcklund Transformations

About the article

Received: 2005-05-25

Published Online: 2014-06-02

Published in Print: 2005-10-01


Citation Information: Zeitschrift für Naturforschung A, Volume 60, Issue 10, Pages 681–686, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2005-1002.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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