7 papers
Recursive behavior in a diatomic FPUT lattice
Guo Deng, Andrea Pezzi, Genghong Lin +1
We study the diatomic FPUT lattice with cubic anharmonic potential, and analyze the recurrent behaviour of its solutions. We find that two distinct types of recurrence occur. One t…
Validity condition of normal form transformation for the -FPUT system
Boyang Wu, Miguel Onorato, Zaher Hani +1
In this work, we provide a validity condition for the normal form transformation to remove the non-resonant cubic terms in the -FPUT system. We show that for a wave field with r…
Space-time resonances in the spatiotemporal spectrum of nonlinear dispersive waves
Michal Shavit, Fabio Pusateri, Zhou Zhang +4
In weakly nonlinear dispersive wave systems, long-time dynamics are typically governed by time resonances, where wave phases evolve coherently due to exact frequency matching. Rece…
Revealing wave-wave resonant interactions in ocean wind waves
Davide Maestrini, Giovanni Dematteis, Alvise Benetazzo +1
Ocean wind waves are a fundamental manifestation of complex dynamics in geophysical fluid systems, characterized by a rich interplay between dispersion and nonlinearity. While line…
On the Wave Kinetic Equation in the presence of forcing and dissipation
Davide Maestrini, Daniele Noto, Giovanni Dematteis +1
The wave kinetic equation has become an important tool in different fields of physics. In particular, for surface gravity waves, it is the backbone of wave forecasting models. Its…
Anomalous correlators, negative frequencies and non-phase-invariant Hamiltonians in random waves
Alberto Villois, Giovanni Dematteis, Yuri V. Lvov +2
We investigate a generic non-phase invariant Hamiltonian model that governs the dynamics of nonlinear dispersive waves. We give evidence that initial data characterized by random p…