Bäcklund Transformations for First and Second Painlevé Hierarchies

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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.

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Exactly Solvable and Integrable Systems, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/221975

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.0342
 http://arxiv.org/abs/0903.0342
 SIGMA 5 (2009), 024, 11 pages
 doi:10.3842/SIGMA.2009.024

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arXiv