In this review we try to capture some of the recent excitement induced by experimental
developments, but also by a large volume of theoretical and computational studies …

We construct and discuss a semirational, multiparametric vector solution of coupled
nonlinear Schrödinger equations (Manakov system). This family of solutions includes known …

This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

Solitons are non-dispersing localized waves that occur in diverse physical settings,
including liquids, optical fibres, plasmas and condensed matter. They attract interest owing …

An integrable nonlocal nonlinear Schrödinger (NLS) equation with clear physical
motivations is proposed. This equation is obtained from a special reduction of the Manakov …

We study the existence and properties of rogue-wave solutions in different nonlinear wave
evolution models that are commonly used in optics and hydrodynamics. In particular, we …

We employ a nonrecursive Darboux transformation formalism for obtaining a hierarchy of
rogue wave solutions to the focusing vector nonlinear Schrödinger equations (Manakov …

Dilute-gas Bose-Einstein condensates are an exceptionally versatile test bed for the
investigation of novel solitonic structures. While matter-wave solitons in one-and two …

In this topical review paper we provide a survey of classical and more recent results on the
IST for one-dimensional scalar, vector and square matrix NLS systems on the line (-∞< …

We present the first experimental observation of multihump multimode solitons in nature. In a
broader perspective, this is the first observation of a multihumped multimode self-trapped …