Data di Pubblicazione:
2014
Citazione:
Integration of some examples of geodesic flows via solvable structures / D. Catalano Ferraioli, P. Morando. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - 21:4(2014 Oct 14), pp. 521-532.
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Solvable Structures ; Variational Symmetries ; Euler-Lagrange Equations
Elenco autori:
D. Catalano Ferraioli, P. Morando
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