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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 structure and requirements to satisfy Painlevé property.

preprint2020arXivOpen access
V. C. C. AlvesH. AratynJ. F. GomesA. H. Zimerman
nlin.SI
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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V. C. C. AlvesH. AratynJ. F. GomesA. H. Zimerman

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