Noether's theorem and first integrals of ordinary differential equations.
Loading...
Date
1997
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem which plays a prominent role in the analysis of differential equations derivable from a Lagrangian. The relationship between the Lie and Noether approach to differential equations is investigated. The standard separation of Lie point symmetries into Noetherian and nonNoetherian symmetries is shown to be irrelevant within the context of nonlocality. This also emphasises the role played by nonlocal symmetries in such an approach.
Description
Thesis (M.Sc.)-University of Natal, Durban, 1997.
Keywords
Theses--Mathematics., Lie groups., Differential equations--Numerical solutions., Lie algebras., Symmetry (Physics), Calculus of variations.