Geodesic
Sistemi integrabili infinito dimensionali e loro perturbazioni
Matematica, cultura e società, Série 1, Tome 2 (2017) no. 3, pp. 309-326

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The last 50 years have seen enourmous advances in the comprehension of the qualitative behaviour of solutions of nonlinear partial differential equations. In particular the extension to this field of the methods of Hamiltonian mechanichs has been the key for the discovery of a full class of equations called ``integrable'', whose solutions always have a recurrent behaviour and has also allowed to shed some light on the solutions of perturbations of integrable equations, which can display both a recurrent and a turbulent behaviour. In this paper we will present some of the results of the theory from its beginning to our days and we will discuss some of the most important open problems. 
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     title = {Sistemi integrabili infinito dimensionali e loro perturbazioni},
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Bambusi, Dario; Maspero, Alberto. Sistemi integrabili infinito dimensionali e loro perturbazioni. Matematica, cultura e società, Série 1, Tome 2 (2017) no. 3, pp. 309-326. http://geodesic.mathdoc.fr/item/RUMI_2017_1_2_3_a5/