One-dimensional chains are used as a fundamental model of condensed matter, and have
constituted the starting point for key developments in nonlinear physics and complex …

When a Bose-Einstein condensate (BEC) is driven out of equilibrium, density waves interact
nonlinearly and trigger turbulent cascades. In a turbulent BEC, energy is transferred toward …

Turbulence in quantum fluids has, surprisingly, a lot in common with its classical counterpart.
Recently, cold atomic gases has emerged as a well-controlled experimental platform to …

We study the universal nonstationary evolution of wave turbulence (WT) in Bose-Einstein
condensates (BECs). Their temporal evolution can exhibit different kinds of self-similar …

During the set of direct numerical simulations of the forced isotropic turbulence of surface
gravity waves in the framework of primordial dynamical equations, the universal inverse …

It is well known that wave collapses can emerge from the focusing one-dimensional (1D)
Majda-McLaughlin-Tabak (MMT) model as a result of modulational instability. However, how …

A bstract It has long been known that weakly nonlinear field theories can have a late-time
stationary state that is not the thermal state, but a wave turbulent state with a far-from …

The comprehension of stratified flows is important for geophysical and astrophysical
applications. The weak wave turbulence theory aims to provide a statistical description of …

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 (ie …

We develop a numerical method for solving kinetic equations (KEs) that describe out-of-
equilibrium isotropic nonlinear four-wave interactions in optics, deep-water wave theory …