KAM for beating solutions of the quintic NLS
Haus, Emanuele · Procesi, Michela
Original · EN
We consider the nonlinear Schrödinger equation of degree five on the circle S¹ = R/2π. We prove the existence of quasi-periodic solutions which bifurcate from "resonant" solutions (studied in [14]) of the system obtained by truncating the Hamiltonian after one step of Birkhoff normal form, exhibiting recurrent exchange of energy between some Fourier modes. The existence of these quasi-periodic solutions is a purely nonlinear effect.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.