Abstract 2D and 3D solitons and related states, such as quantum droplets, can appear in
optical systems, atomic Bose–Einstein condensates (BECs) and liquid crystals, among other …

This brief review summarizes recent theoretical and experimental results which predict and
establish the existence of quantum droplets (QDs), ie, robust two-and three-dimensional (2D …

A survey of some 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 …

The current work introduces two extended (3+ 1)-and (2+ 1)-dimensional Painlevé
integrable Kadomtsev–Petviashvili (KP) equations. The integrability feature of both extended …

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 …

In this work, we study an extended integrable (3+ 1)-dimensional Ito equation, where its
complete integrability is justified via Painlevé analysis. The simplified Hirota's method is …

This article offers a review of (chiefly, theoretical) results for self-trapped states (solitons) in
two-and three-dimensional (2D and 3D) models of nonlinear dissipative media. The …

This work develops two higher-dimensional extensions for both Korteweg–de Vries (KdV)
and modified KdV (mKdV) equations. We investigate the Painlevé integrability of each …

In this paper, we systematically investigate the nonlocal Hirota equation with nonzero
boundary conditions via Riemann–Hilbert method and multi-layer physics-informed neural …

In the present course of study, we examine a family of Boussinesq equations of distinct
structures and dimensions. We investigate the complete integrability of these equations via …