Solvable structures are particularly useful in the integration by quadratures of ordinary differential equations. Nevertheless, for a given equation, it is not always possible to compute a solvable structure. In practice, the simplest solvable structures are those adapted to an already known system of symmetries. In this paper we propose a method of integration which uses solvable structures suitably adapted to both symmetries and first integrals. In the variational case, due to Noether theorem, this method is particularly effective as illustrated by some examples of integration of the geodesic flows.
|Titolo:||Integration of some examples of geodesic flows via solvable structures|
|Parole Chiave:||Solvable Structures ; Variational Symmetries ; Euler-Lagrange Equations|
|Settore Scientifico Disciplinare:||Settore MAT/07 - Fisica Matematica|
|Data di pubblicazione:||14-ott-2014|
|Digital Object Identifier (DOI):||10.1080/14029251.2014.975525|
|Appare nelle tipologie:||01 - Articolo su periodico|