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


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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.

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V. Gromak

Belarusian State University

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Email: vgromak@gmail.com
白俄罗斯, Minsk, 220030

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