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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2009 Volume 5, 024, 11 pp. (Mi sigma370)

This article is cited in 8 papers

Bäcklund Transformations for First and Second Painlevé Hierarchies

Ayman Hashem Sakka

Department of Mathematics, Islamic University of Gaza, P. O. Box 108, Rimal, Gaza, Palestine

Abstract: We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new hierarchies of Painlevé-type equations.

Keywords: Painlevé hierarchies; Bäcklund transformations.

MSC: 34M55; 33E17

Received: November 25, 2008; in final form February 24, 2009; Published online March 2, 2009

Language: English

DOI: 10.3842/SIGMA.2009.024



Bibliographic databases:
ArXiv: 0903.0342


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