Solutions of the Fourth-Order Equation in the Generalized Hierarchy of the Second Painlevé Equation
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DOI: 10.1134/s0012266119030066
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. read more here.
Keywords: painlev equation; solutions fourth; fourth order; second painlev ... See more keywords
On a Dirichlet boundary value problem for an Ermakov–Painlevé I equation. A Hamiltonian EPI system
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DOI: 10.14232/ejqtde.2023.1.23
Abstract: Here, a proto-type Ermakov–Painlevé I equation is introduced and a homogeneous Dirichlet-type boundary value problem analysed. In addition, a novel Ermakov–Painlevé I system is set down which is reducible by an involutory transformation to the… read more here.
Keywords: system; ermakov painlev; painlev equation; ermakov ... See more keywords