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Solutions of the Fourth-Order Equation in the Generalized Hierarchy of the Second Painlevé Equation

We consider the analytic properties of solutions of the fourth-order higher analog of the second Painlevé equation and study the local properties of solutions, Bäcklund transformations, rational solutions, and their… Click to show full abstract

We consider the analytic properties of solutions of the fourth-order higher analog of the second Painlevé equation and study the local properties of solutions, Bäcklund transformations, rational solutions, and their representation via generalized Yablonskii-Vorob’ev polynomials.

Keywords: painlev equation; solutions fourth; fourth order; second painlev; equation

Journal Title: Differential Equations
Year Published: 2019

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