18 citations · 21 across the 5 of their papers we have counts for
5 papers
Verification of Wave Turbulence Theory in the Kinetic Limit
Alexander Hrabski, Yulin Pan
Using the 1D Majda-McLaughlin-Tabak model as an example, we develop numerical experiments to study the validity of the Wave Kinetic Equation (WKE) at the kinetic limit (i.e., small…
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…
Breather Solutions to a Two-dimensional Nonlinear Schrödinger Equation with Non-local Derivatives
Alexander Hrabski, Yulin Pan
We consider the nonlinear Schrödinger equation with non-local derivatives in a two-dimensional periodic domain. For certain orders of derivatives, we find a new type of breather so…
On the Properties of Energy Flux in Wave Turbulence
Alexander Hrabski, Yulin Pan
We study the properties of energy flux in wave turbulence via the Majda-McLaughlin-Tabak (MMT) equation with a quadratic dispersion relation. One of our purposes is to resolve the…
Energy transfer for solutions to the nonlinear Schrödinger equation on irrational tori
Alexander Hrabski, Yulin Pan, Gigliola Staffilani +1
We analyze the energy transfer for solutions to the defocusing cubic nonlinear Schrödinger (NLS) initial value problem on 2D irrational tori. Moreover we complement the analytic st…