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On a Dirichlet boundary value problem for an Ermakov–Painlevé I equation. A Hamiltonian EPI system

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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… Click to show full 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 autonomous Ermakov–Ray–Reid system augmented by a single component Ermakov–Painlevé I equation. Hamiltonian such systems are delimited

Keywords: system; ermakov painlev; painlev equation; ermakov

Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2023

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