Work

Systems of first order ordinary differential equations allowing a given 3-dimensional Lie group as a subgroup of their symmetry group

Year: 2024

Type: article

Abstract: We determine systems of the first order ordinary differential equations such that their group of symmetries contains a three-dimensional Lie subgroup G. We represent the basis vectors of the Lie algebra $$\mathfrak {g}$$ g of G by vector fields in the three-dimensional real space. Two cases are distinguished according to whether the infinitesimal generators of $$\mathfrak {g}$$ g do not contain any component or contain component with respect to the independent variable of the system.

Source: Acta Scientiarum Mathematicarum

DOI: 10.1007/s44146-024-00157-3

Authors: Kornélia Ficzere, Ágota Figula

Institution: University of Debrecen

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal