학술논문

Differential equations uniquely determined by algebras of point symmetries
Document Type
Original Paper
Source
Theoretical and Mathematical Physics. June 2007 151(3):843-850
Subject
Lie symmetries of differential equations
jet space
Language
English
ISSN
0040-5779
1573-9333
Abstract
We continue to investigate strongly and weakly Lie remarkable equations, which we defined in a recent paper. We consider some relevant algebras of vector fields on ℝk (such as the isometric, affine, projective, or conformal algebras) and characterize strongly Lie remarkable equations admitted by the considered Lie algebras.