This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

This article is a perspective on the recently discovered realm of submesoscale currents in
the ocean. They are intermediate-scale flow structures in the form of density fronts and …

When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

The last decade has seen a significant increase in the number of studies devoted to wave
turbulence. Many deal with water waves, as modeling of ocean waves has historically …

Random fiber lasers blend together attractive features of traditional random lasers, such as
low cost and simplicity of fabrication, with high-performance characteristics of conventional …

Axion-like particle (ALP) dark matter shows distinctive behavior on scales where wavelike
effects dominate over self-gravity. Ultralight axions are candidates for fuzzy dark matter …

We provide the rigorous derivation of the wave kinetic equation from the cubic nonlinear
Schrödinger (NLS) equation at the kinetic timescale, under a particular scaling law that …

The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

We review the spectral theory of soliton gases in integrable dispersive hydrodynamic
systems. We first present a phenomenological approach based on the consideration of …