Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations

We extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II equations for special limits of the underlying parameters. We derive the underlying Bäcklund transformations, symmetry st...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2020-11, Vol.53 (44), p.445202
Main Authors: Alves, V C C, Aratyn, H, Gomes, J F, Zimerman, A H
Format: Article
Language:English
Subjects:
Backlund transformations
coalescence
Painleve equations
symmetries
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Summary:We extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II equations for special limits of the underlying parameters. We derive the underlying Bäcklund transformations, symmetry structure and requirements to satisfy Painlevé property.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/abb725