Bäcklund Transformations for First and Second Painlevé Hierarchies

Details Bäcklund Transformations for First and Second Painlevé Hierarchies Bäcklund Transformations for First and Second Painlevé Hierarchies

2009-03-02

arxiv.org/abs/0903.0342v1

SIGMA 5 (2009), 024, 11 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.3842/SIGMA.2009.024

We give B\"acklund transformations for first and second Painlev\'e
hierarchies. These B\"acklund transformations are generalization of known
B\"acklund transformations of the first and second Painlev\'e equations and
they relate the considered hierarchies to new hierarchies of Painlev\'e-type
equations.

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