3 papers
nlin.CD2026
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…
nlin.PS2025
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…
math-ph2025
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…