It has been shown analytically that Peregrine solitons emerge locally from a universal
mechanism in the so-called semiclassical limit of the one-dimensional focusing nonlinear …

The question of whether features and behaviors that are characteristic to completely
integrable systems persist in the transition to non-integrable settings is a central one in the …

The Peregrine soliton is often considered as a prototype of rogue waves. After recent
advances in the semiclassical limit of the one-dimensional focusing nonlinear Schrödinger …

We study numerically a discrete, nonlinear lattice, which is formed by a chain of pendula
submitted to a harmonic-driving source with constant amplitude and parametrical excitation …

Spatially periodic breather solutions (SPBs) of the nonlinear Schrödinger (NLS) equation
are frequently used to model rogue waves and are typically unstable. In this paper we study …

A delicate balance between dissipative and nonlinear forces allows traveling waves termed
solitons to preserve their shape and energy for long distances without steepening and …

We prove spatiotemporal algebraically decaying estimates for the density of the solutions of
the linearly damped nonlinear Schrödinger equation with localized driving, when …

We show by direct numerical simulations that spatiotemporally localised waveforms, strongly
reminiscent of the Peregrine rogue wave, can be excited by vanishing initial conditions for …

ABSTRACT A delicate balance between dissipative and nonlinear forces allows traveling
waves termed solitons to preserve their shape and energy for long distances without …

For the benefit of accurate and precise plasma parameter inference in the upcoming DEMO
demonstration fusion reactor, we aim to leverage the probabilistic framework of Bayesian …