Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

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 …

In this article, we state and review the premises on which a successful asymptotic closure of
the moment equations of wave turbulence is based, describe how and why this closure …

Extreme events and the related anomalous statistics are ubiquitously observed in many
natural systems, and the development of efficient methods to understand and accurately …

The problem of turbulence is one of the central problems in theoretical physics. While the
theory of fully developed turbulence has been widely studied, the theory of wave turbulence …

Explicit symplectic integrators have been important tools for accurate and efficient
approximations of mechanical systems with separable Hamiltonians. This article proposes …

We consider fractional NLS with focusing power-type nonlinearity i∂ tu=(− Δ) su−| u| 2 σ u,(t,
x)∈ R× RN, where 1/2< s< 1 and 0< σ<∞ for s⩾ N/2 and 0< σ⩽ 2 s/(N− 2 s) for s< N/2. We …

A conditional Gaussian framework for understanding and predicting complex multiscale
nonlinear stochastic systems is developed. Despite the conditional Gaussianity, such …

We consider the focusing L 2-critical half-wave equation in one space dimension, i\partial_t
u= D u-| u|^ 2 u, where D denotes the first-order fractional derivative. Standard arguments …

In this paper, dynamics of time-dependent fractional-in-space nonlinear Schrödinger
equation with harmonic potential V(x),x∈R in one, two and three dimensions have been …