Christov, O.; Georgiev, G.
(Symmetry, Integrability and Geometry: Methods and Applications, 2015)
In this paper we study the equation
w⁽⁴⁾=5w′′(w²−w′)+5w(w′)²−⁵+(λz+α)w+γ,
which is one of the higher-order Painlevé equations (i.e., equations in the polynomial class having the Painlevé property). Like the classical ...