Coalescence, Deformation and Bäcklund Symmetries of Painlevé IV and II Equations

V. C. C. Alves, H. Aratyn, J. F. Gomes +1

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 e…