Amster, Pablo and Rogers, Colin (2023) On a Dirichlet boundary value problem for an Ermakov–Painlevé I equation. A Hamiltonian EPI system. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (23). pp. 1-14. ISSN 1417-3875
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Official URL: https://doi.org/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 ErmakovPainlevé I system is set down which is reducible by an involutory transformation to the autonomous Ermakov–Ray–Reid system augmented by a single component ErmakovPainlevé I equation. Hamiltonian such systems are delimited.
| Item Type: | Article |
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| Uncontrolled Keywords: | Ermakov, Painlevé, Dirichlet boundary value problem, Hamiltonian system |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:44 |
| Last Modified: | 28 Mar 2024 12:21 |
| URI: | https://real.mtak.hu/id/eprint/185171 |
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