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.
               
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