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

被引：0

作者：

Amster, Pablo ^{[1
,2
]}

Rogers, Colin ^{[3
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, Argentina

[2] IMAS CONICET, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, Argentina

[3] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2023年 / 23期

关键词：

Ermakov; Painleve; Dirichlet boundary value problem; Hamiltonian system; NONLINEAR SUPERPOSITION; MULTICOMPONENT ERMAKOV; REDUCTION; DYNAMICS;

D O I：

10.14232/ejqtde.2023.1.23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here, a proto-type Ermakov-Painleve I equation is introduced and a homoge-neous Dirichlet-type boundary value problem analysed. In addition, a novel Ermakov- Painleve 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- Painleve I equation. Hamiltonian such systems are delimited.

引用

页码：1 / 14

页数：14

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