8 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…
Cascades in the Kinetic Equation for the Majda-McLaughlin-Tabak model
Gregorio Tibone, Giorgio Krstulovic, Miguel Onorato
The Majda-McLaughlin-Tabak (MMT) family of models has proven to be an efficient ground for benchmarking wave turbulence theory, thanks to the low computational cost required to tes…
Resonant interactions in the -FPUT lattice with site-dependent coefficients
Lorenzo Migliorelli, Giovanni Dematteis, Sergio Chibbaro +1
The wave turbulence framework has proven to be an effective tool for analyzing certain features of nonlinear energy transfer in one-dimensional nonlinear chains. In this work, we e…
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…
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…
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…