154 citations · 798 across the 35 of their papers we have counts for
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math.AP2016★ 6 cited
Large KAM tori for perturbations of the dNLS equation
Massimiliano Berti, Thomas Kappeler, Riccardo Montalto
We prove that small, semi-linear Hamiltonian perturbations of the defocusing nonlinear Schrödinger (dNLS) equation on the circle have an abundance of invariant tori of any size and…
math.AP2016★ 24 cited
Quasi-periodic standing wave solutions of gravity-capillary water waves
Massimiliano Berti, Riccardo Montalto
We prove the existence and the linear stability of small amplitude time {\it quasi-periodic} standing wave solutions (i.e. periodic and even in the space variable ) of a …