4 papers
Dissipation-driven champion solitons in one-dimensional shallow-water waves
Ashleigh Simonis, Sergey Nazarenko, Jalal Shatah +1
In this paper, we identify a new mechanism for rogue wave formation in a shallow-water setting. We study a bidirectional shallow-water wave field in the context of the Kaup-Boussin…
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…
Transition from weak turbulence to collapse turbulence regimes in MMT model
Ashleigh Simonis, Yulin Pan
It is well known that wave collapses can emerge from the focusing one-dimensional (1-D) Majda-McLaughlin-Tabak (MMT) model as a result of modulational instability. However, how the…
On the time scales of spectral evolution of nonlinear waves
Ashleigh Simonis, Alexander Hrabski, Yulin Pan
As presented in Annenkov & Shrira (2009), when a surface gravity wave field is subjected to an abrupt perturbation of external forcing, its spectrum evolves on a ``fast'' dynamic t…