4 papers
Bidirectional shallow-water wave turbulence
Ashleigh Simonis, Sergey Nazarenko, Jalal Shatah +1
We study bidirectional one-dimensional (1-D) shallow-water waves within a class of Boussinesq equations, including the integrable Kaup-Boussinesq (KB) equation and a truncated-disp…
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…
Role of triad interactions in spectral evolution of surface gravity waves in deep water
Zhou Zhang, Yulin Pan
It is generally accepted that the evolution of deep-water surface gravity wave spectrum is governed by quartet resonant and quasi-resonant interactions. However, it has also been r…