Talbot effect, characterized by the replication of a periodic optical field in a specific plane, is
governed by diffraction and dispersion in the spatial and temporal domains, respectively. In …

The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …

In this paper, we focus on the localized rational waves of the variable-coefficient Heisenberg
spin chain equation, which models the local magnetization in ferromagnet with time …

In this paper, we investigate the general localized waves on the nonvanishing background
for a coupled generalized nonlinear Schrödinger system with four wave mixing (FWM) effect …

By utilizing Hirota's bilinear and a novel limit method, the degenerate lump solutions
including anomalous scattering of lumps and weak interaction of multiple lumps can be …

The short de Broglie wavelength and strong interaction empower free electrons to probe
structures and excitations in materials and biomolecules. Recently, electron-photon …

We show that, although nonlinear optics may give rise to a vast multitude of statistics, all
these statistics converge, in their extreme-value limit, to one of a few universal extreme …

In this paper, we concentrate on the higher-order nonlinear Schrödinger-Maxwell-Bloch
system with the sextic terms, which could characterize the ultra-short optical pulses in an …

Branched flows occur ubiquitously in various wave systems, when the propagating waves
encounter weak correlated scattering potentials. Here we report the experimental realization …

A survey of recent theoretical and experimental studies on localized structures that form and
propagate in a broad class of optical and matter-wave media is presented. The article is …